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Finding the Fourth Proportional to 9,686.80, 14,530.20 and 9,110.80

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Solution

The fourth proportional to 9,686.80, 14,530.20 and 9,110.80 is: 13,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.80 : 14,530.20 = 9,110.80 : x
  2. Step 2: Convert to fraction form
    9,686.80/14,530.20 = 9,110.80/x
  3. Step 3: Cross multiply
    9,686.80x = 14,530.20 × 9,110.80
  4. Step 4: Simplify right side
    9,686.80x = 132,381,746.16
  5. Step 5: Solve for x
    x = 132,381,746.16/9,686.80
  6. Step 6: Final answer
    x = 13,666.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.