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Finding the Fourth Proportional to 6,387.78, 9,582.15 and 1,707.68

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Solution

The fourth proportional to 6,387.78, 9,582.15 and 1,707.68 is: 2,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.78 : 9,582.15 = 1,707.68 : x
  2. Step 2: Convert to fraction form
    6,387.78/9,582.15 = 1,707.68/x
  3. Step 3: Cross multiply
    6,387.78x = 9,582.15 × 1,707.68
  4. Step 4: Simplify right side
    6,387.78x = 16,363,265.60
  5. Step 5: Solve for x
    x = 16,363,265.60/6,387.78
  6. Step 6: Final answer
    x = 2,561.65

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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.