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Finding the Fourth Proportional to 8,001.92, 12,008.28 and 2,807.84

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Solution

The fourth proportional to 8,001.92, 12,008.28 and 2,807.84 is: 4,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.92 : 12,008.28 = 2,807.84 : x
  2. Step 2: Convert to fraction form
    8,001.92/12,008.28 = 2,807.84/x
  3. Step 3: Cross multiply
    8,001.92x = 12,008.28 × 2,807.84
  4. Step 4: Simplify right side
    8,001.92x = 33,717,328.92
  5. Step 5: Solve for x
    x = 33,717,328.92/8,001.92
  6. Step 6: Final answer
    x = 4,213.65

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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.