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Finding the Fourth Proportional to 6,096.71, 9,144.02 and 1,713.14

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Solution

The fourth proportional to 6,096.71, 9,144.02 and 1,713.14 is: 2,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.71 : 9,144.02 = 1,713.14 : x
  2. Step 2: Convert to fraction form
    6,096.71/9,144.02 = 1,713.14/x
  3. Step 3: Cross multiply
    6,096.71x = 9,144.02 × 1,713.14
  4. Step 4: Simplify right side
    6,096.71x = 15,665,013.57
  5. Step 5: Solve for x
    x = 15,665,013.57/6,096.71
  6. Step 6: Final answer
    x = 2,569.42

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.