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Finding the Fourth Proportional to 6,382.48, 9,565.44 and 3,091

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Solution

The fourth proportional to 6,382.48, 9,565.44 and 3,091 is: 4,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.48 : 9,565.44 = 3,091 : x
  2. Step 2: Convert to fraction form
    6,382.48/9,565.44 = 3,091/x
  3. Step 3: Cross multiply
    6,382.48x = 9,565.44 × 3,091
  4. Step 4: Simplify right side
    6,382.48x = 29,566,775.04
  5. Step 5: Solve for x
    x = 29,566,775.04/6,382.48
  6. Step 6: Final answer
    x = 4,632.49

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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.