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Finding the Fourth Proportional to 6,542.92, 9,029.47 and 3,748.96

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Solution

The fourth proportional to 6,542.92, 9,029.47 and 3,748.96 is: 5,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.92 : 9,029.47 = 3,748.96 : x
  2. Step 2: Convert to fraction form
    6,542.92/9,029.47 = 3,748.96/x
  3. Step 3: Cross multiply
    6,542.92x = 9,029.47 × 3,748.96
  4. Step 4: Simplify right side
    6,542.92x = 33,851,089.91
  5. Step 5: Solve for x
    x = 33,851,089.91/6,542.92
  6. Step 6: Final answer
    x = 5,173.70

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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.