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Finding the Fourth Proportional to 6,475.50, 9,713.16 and 3,695.19

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Solution

The fourth proportional to 6,475.50, 9,713.16 and 3,695.19 is: 5,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.50 : 9,713.16 = 3,695.19 : x
  2. Step 2: Convert to fraction form
    6,475.50/9,713.16 = 3,695.19/x
  3. Step 3: Cross multiply
    6,475.50x = 9,713.16 × 3,695.19
  4. Step 4: Simplify right side
    6,475.50x = 35,891,971.70
  5. Step 5: Solve for x
    x = 35,891,971.70/6,475.50
  6. Step 6: Final answer
    x = 5,542.73

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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.