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Finding the Fourth Proportional to 6,507.70, 9,761.55 and 4,174.90

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Solution

The fourth proportional to 6,507.70, 9,761.55 and 4,174.90 is: 6,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.70 : 9,761.55 = 4,174.90 : x
  2. Step 2: Convert to fraction form
    6,507.70/9,761.55 = 4,174.90/x
  3. Step 3: Cross multiply
    6,507.70x = 9,761.55 × 4,174.90
  4. Step 4: Simplify right side
    6,507.70x = 40,753,495.10
  5. Step 5: Solve for x
    x = 40,753,495.10/6,507.70
  6. Step 6: Final answer
    x = 6,262.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.