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Finding the Fourth Proportional to 5,462.59, 7,542.70 and 4,397

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Solution

The fourth proportional to 5,462.59, 7,542.70 and 4,397 is: 6,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.59 : 7,542.70 = 4,397 : x
  2. Step 2: Convert to fraction form
    5,462.59/7,542.70 = 4,397/x
  3. Step 3: Cross multiply
    5,462.59x = 7,542.70 × 4,397
  4. Step 4: Simplify right side
    5,462.59x = 33,165,251.90
  5. Step 5: Solve for x
    x = 33,165,251.90/5,462.59
  6. Step 6: Final answer
    x = 6,071.34

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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.