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Finding the Fourth Proportional to 6,502.62, 8,971.38 and 3,669.65

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Solution

The fourth proportional to 6,502.62, 8,971.38 and 3,669.65 is: 5,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.62 : 8,971.38 = 3,669.65 : x
  2. Step 2: Convert to fraction form
    6,502.62/8,971.38 = 3,669.65/x
  3. Step 3: Cross multiply
    6,502.62x = 8,971.38 × 3,669.65
  4. Step 4: Simplify right side
    6,502.62x = 32,921,779.76
  5. Step 5: Solve for x
    x = 32,921,779.76/6,502.62
  6. Step 6: Final answer
    x = 5,062.85

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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.