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Finding the Fourth Proportional to 6,507.38, 8,982.21 and 3,714.74

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Solution

The fourth proportional to 6,507.38, 8,982.21 and 3,714.74 is: 5,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.38 : 8,982.21 = 3,714.74 : x
  2. Step 2: Convert to fraction form
    6,507.38/8,982.21 = 3,714.74/x
  3. Step 3: Cross multiply
    6,507.38x = 8,982.21 × 3,714.74
  4. Step 4: Simplify right side
    6,507.38x = 33,366,574.78
  5. Step 5: Solve for x
    x = 33,366,574.78/6,507.38
  6. Step 6: Final answer
    x = 5,127.50

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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.