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Finding the Fourth Proportional to 6,354.65, 8,767.14 and 3,560.15

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Solution

The fourth proportional to 6,354.65, 8,767.14 and 3,560.15 is: 4,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.65 : 8,767.14 = 3,560.15 : x
  2. Step 2: Convert to fraction form
    6,354.65/8,767.14 = 3,560.15/x
  3. Step 3: Cross multiply
    6,354.65x = 8,767.14 × 3,560.15
  4. Step 4: Simplify right side
    6,354.65x = 31,212,342.04
  5. Step 5: Solve for x
    x = 31,212,342.04/6,354.65
  6. Step 6: Final answer
    x = 4,911.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.