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Finding the Fourth Proportional to 6,404.57, 9,542.47 and 6,046.47

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Solution

The fourth proportional to 6,404.57, 9,542.47 and 6,046.47 is: 9,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.57 : 9,542.47 = 6,046.47 : x
  2. Step 2: Convert to fraction form
    6,404.57/9,542.47 = 6,046.47/x
  3. Step 3: Cross multiply
    6,404.57x = 9,542.47 × 6,046.47
  4. Step 4: Simplify right side
    6,404.57x = 57,698,267.91
  5. Step 5: Solve for x
    x = 57,698,267.91/6,404.57
  6. Step 6: Final answer
    x = 9,008.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.