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Finding the Fourth Proportional to 6,462.75, 9,699.66 and 2,569.89

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Solution

The fourth proportional to 6,462.75, 9,699.66 and 2,569.89 is: 3,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.75 : 9,699.66 = 2,569.89 : x
  2. Step 2: Convert to fraction form
    6,462.75/9,699.66 = 2,569.89/x
  3. Step 3: Cross multiply
    6,462.75x = 9,699.66 × 2,569.89
  4. Step 4: Simplify right side
    6,462.75x = 24,927,059.24
  5. Step 5: Solve for x
    x = 24,927,059.24/6,462.75
  6. Step 6: Final answer
    x = 3,857.04

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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.