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Finding the Fourth Proportional to 6,505.10, 9,757.65 and 6,407.90

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Solution

The fourth proportional to 6,505.10, 9,757.65 and 6,407.90 is: 9,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.10 : 9,757.65 = 6,407.90 : x
  2. Step 2: Convert to fraction form
    6,505.10/9,757.65 = 6,407.90/x
  3. Step 3: Cross multiply
    6,505.10x = 9,757.65 × 6,407.90
  4. Step 4: Simplify right side
    6,505.10x = 62,526,045.44
  5. Step 5: Solve for x
    x = 62,526,045.44/6,505.10
  6. Step 6: Final answer
    x = 9,611.85

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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.