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Finding the Fourth Proportional to 6,481.48, 9,722.24 and 2,585.92

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Solution

The fourth proportional to 6,481.48, 9,722.24 and 2,585.92 is: 3,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.48 : 9,722.24 = 2,585.92 : x
  2. Step 2: Convert to fraction form
    6,481.48/9,722.24 = 2,585.92/x
  3. Step 3: Cross multiply
    6,481.48x = 9,722.24 × 2,585.92
  4. Step 4: Simplify right side
    6,481.48x = 25,140,934.86
  5. Step 5: Solve for x
    x = 25,140,934.86/6,481.48
  6. Step 6: Final answer
    x = 3,878.89

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1.5x scale

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.