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Finding the Fourth Proportional to 6,374.67, 9,565.65 and 2,478.57

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Solution

The fourth proportional to 6,374.67, 9,565.65 and 2,478.57 is: 3,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.67 : 9,565.65 = 2,478.57 : x
  2. Step 2: Convert to fraction form
    6,374.67/9,565.65 = 2,478.57/x
  3. Step 3: Cross multiply
    6,374.67x = 9,565.65 × 2,478.57
  4. Step 4: Simplify right side
    6,374.67x = 23,709,133.12
  5. Step 5: Solve for x
    x = 23,709,133.12/6,374.67
  6. Step 6: Final answer
    x = 3,719.27

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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.