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Finding the Fourth Proportional to 6,475.46, 9,699.15 and 4,010.90

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Solution

The fourth proportional to 6,475.46, 9,699.15 and 4,010.90 is: 6,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.46 : 9,699.15 = 4,010.90 : x
  2. Step 2: Convert to fraction form
    6,475.46/9,699.15 = 4,010.90/x
  3. Step 3: Cross multiply
    6,475.46x = 9,699.15 × 4,010.90
  4. Step 4: Simplify right side
    6,475.46x = 38,902,320.74
  5. Step 5: Solve for x
    x = 38,902,320.74/6,475.46
  6. Step 6: Final answer
    x = 6,007.65

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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.