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Finding the Fourth Proportional to 6,374.90, 9,519.43 and 5,207.24

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Solution

The fourth proportional to 6,374.90, 9,519.43 and 5,207.24 is: 7,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.90 : 9,519.43 = 5,207.24 : x
  2. Step 2: Convert to fraction form
    6,374.90/9,519.43 = 5,207.24/x
  3. Step 3: Cross multiply
    6,374.90x = 9,519.43 × 5,207.24
  4. Step 4: Simplify right side
    6,374.90x = 49,569,883.04
  5. Step 5: Solve for x
    x = 49,569,883.04/6,374.90
  6. Step 6: Final answer
    x = 7,775.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.