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Finding the Fourth Proportional to 6,565.70, 9,845.12 and 3,232.56

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Solution

The fourth proportional to 6,565.70, 9,845.12 and 3,232.56 is: 4,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.70 : 9,845.12 = 3,232.56 : x
  2. Step 2: Convert to fraction form
    6,565.70/9,845.12 = 3,232.56/x
  3. Step 3: Cross multiply
    6,565.70x = 9,845.12 × 3,232.56
  4. Step 4: Simplify right side
    6,565.70x = 31,824,941.11
  5. Step 5: Solve for x
    x = 31,824,941.11/6,565.70
  6. Step 6: Final answer
    x = 4,847.15

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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.