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Finding the Fourth Proportional to 9,662.24, 13,311.14 and 9,080.98

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Solution

The fourth proportional to 9,662.24, 13,311.14 and 9,080.98 is: 12,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.24 : 13,311.14 = 9,080.98 : x
  2. Step 2: Convert to fraction form
    9,662.24/13,311.14 = 9,080.98/x
  3. Step 3: Cross multiply
    9,662.24x = 13,311.14 × 9,080.98
  4. Step 4: Simplify right side
    9,662.24x = 120,878,117.43
  5. Step 5: Solve for x
    x = 120,878,117.43/9,662.24
  6. Step 6: Final answer
    x = 12,510.36

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Half scale
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Double scale
Find fourth proportional to 9,663.24, 13,312.51 and 9,081.98
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.