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Finding the Fourth Proportional to 6,496.32, 9,744.46 and 1,565.95

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Solution

The fourth proportional to 6,496.32, 9,744.46 and 1,565.95 is: 2,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.32 : 9,744.46 = 1,565.95 : x
  2. Step 2: Convert to fraction form
    6,496.32/9,744.46 = 1,565.95/x
  3. Step 3: Cross multiply
    6,496.32x = 9,744.46 × 1,565.95
  4. Step 4: Simplify right side
    6,496.32x = 15,259,337.14
  5. Step 5: Solve for x
    x = 15,259,337.14/6,496.32
  6. Step 6: Final answer
    x = 2,348.92

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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.