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Finding the Fourth Proportional to 6,915.17, 9,542.10 and 4,082.10

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Solution

The fourth proportional to 6,915.17, 9,542.10 and 4,082.10 is: 5,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.17 : 9,542.10 = 4,082.10 : x
  2. Step 2: Convert to fraction form
    6,915.17/9,542.10 = 4,082.10/x
  3. Step 3: Cross multiply
    6,915.17x = 9,542.10 × 4,082.10
  4. Step 4: Simplify right side
    6,915.17x = 38,951,785.93
  5. Step 5: Solve for x
    x = 38,951,785.93/6,915.17
  6. Step 6: Final answer
    x = 5,632.80

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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.