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Finding the Fourth Proportional to 6,502.60, 9,753.90 and 2,606.56

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Solution

The fourth proportional to 6,502.60, 9,753.90 and 2,606.56 is: 3,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.60 : 9,753.90 = 2,606.56 : x
  2. Step 2: Convert to fraction form
    6,502.60/9,753.90 = 2,606.56/x
  3. Step 3: Cross multiply
    6,502.60x = 9,753.90 × 2,606.56
  4. Step 4: Simplify right side
    6,502.60x = 25,424,125.58
  5. Step 5: Solve for x
    x = 25,424,125.58/6,502.60
  6. Step 6: Final answer
    x = 3,909.84

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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.