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Finding the Fourth Proportional to 22,289, 33,414.86 and 9,150.80

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Solution

The fourth proportional to 22,289, 33,414.86 and 9,150.80 is: 13,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289 : 33,414.86 = 9,150.80 : x
  2. Step 2: Convert to fraction form
    22,289/33,414.86 = 9,150.80/x
  3. Step 3: Cross multiply
    22,289x = 33,414.86 × 9,150.80
  4. Step 4: Simplify right side
    22,289x = 305,772,700.89
  5. Step 5: Solve for x
    x = 305,772,700.89/22,289
  6. Step 6: Final answer
    x = 13,718.55

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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.