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Finding the Fourth Proportional to 6,714.38, 10,004.11 and 6,337.13

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Solution

The fourth proportional to 6,714.38, 10,004.11 and 6,337.13 is: 9,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.38 : 10,004.11 = 6,337.13 : x
  2. Step 2: Convert to fraction form
    6,714.38/10,004.11 = 6,337.13/x
  3. Step 3: Cross multiply
    6,714.38x = 10,004.11 × 6,337.13
  4. Step 4: Simplify right side
    6,714.38x = 63,397,279.74
  5. Step 5: Solve for x
    x = 63,397,279.74/6,714.38
  6. Step 6: Final answer
    x = 9,442.01

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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.