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Finding the Fourth Proportional to 22,280, 33,407.04 and 9,799.68

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Solution

The fourth proportional to 22,280, 33,407.04 and 9,799.68 is: 14,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280 : 33,407.04 = 9,799.68 : x
  2. Step 2: Convert to fraction form
    22,280/33,407.04 = 9,799.68/x
  3. Step 3: Cross multiply
    22,280x = 33,407.04 × 9,799.68
  4. Step 4: Simplify right side
    22,280x = 327,378,301.75
  5. Step 5: Solve for x
    x = 327,378,301.75/22,280
  6. Step 6: Final answer
    x = 14,693.82

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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.