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Finding the Fourth Proportional to 6,378.32, 9,565.80 and 1,760.24

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Solution

The fourth proportional to 6,378.32, 9,565.80 and 1,760.24 is: 2,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.32 : 9,565.80 = 1,760.24 : x
  2. Step 2: Convert to fraction form
    6,378.32/9,565.80 = 1,760.24/x
  3. Step 3: Cross multiply
    6,378.32x = 9,565.80 × 1,760.24
  4. Step 4: Simplify right side
    6,378.32x = 16,838,103.79
  5. Step 5: Solve for x
    x = 16,838,103.79/6,378.32
  6. Step 6: Final answer
    x = 2,639.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.