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Finding the Fourth Proportional to 8,005.60, 12,001.44 and 3,843.52

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Solution

The fourth proportional to 8,005.60, 12,001.44 and 3,843.52 is: 5,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.60 : 12,001.44 = 3,843.52 : x
  2. Step 2: Convert to fraction form
    8,005.60/12,001.44 = 3,843.52/x
  3. Step 3: Cross multiply
    8,005.60x = 12,001.44 × 3,843.52
  4. Step 4: Simplify right side
    8,005.60x = 46,127,774.67
  5. Step 5: Solve for x
    x = 46,127,774.67/8,005.60
  6. Step 6: Final answer
    x = 5,761.94

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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.