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Finding the Fourth Proportional to 6,382.55, 9,565.51 and 3,259.93

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Solution

The fourth proportional to 6,382.55, 9,565.51 and 3,259.93 is: 4,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.55 : 9,565.51 = 3,259.93 : x
  2. Step 2: Convert to fraction form
    6,382.55/9,565.51 = 3,259.93/x
  3. Step 3: Cross multiply
    6,382.55x = 9,565.51 × 3,259.93
  4. Step 4: Simplify right side
    6,382.55x = 31,182,893.01
  5. Step 5: Solve for x
    x = 31,182,893.01/6,382.55
  6. Step 6: Final answer
    x = 4,885.65

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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.