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Finding the Fourth Proportional to 9,674.02, 13,263.22 and 9,499.06

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Solution

The fourth proportional to 9,674.02, 13,263.22 and 9,499.06 is: 13,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.02 : 13,263.22 = 9,499.06 : x
  2. Step 2: Convert to fraction form
    9,674.02/13,263.22 = 9,499.06/x
  3. Step 3: Cross multiply
    9,674.02x = 13,263.22 × 9,499.06
  4. Step 4: Simplify right side
    9,674.02x = 125,988,122.57
  5. Step 5: Solve for x
    x = 125,988,122.57/9,674.02
  6. Step 6: Final answer
    x = 13,023.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.