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Finding the Fourth Proportional to 22,532.16, 33,798.69 and 6,949.78

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Solution

The fourth proportional to 22,532.16, 33,798.69 and 6,949.78 is: 10,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.16 : 33,798.69 = 6,949.78 : x
  2. Step 2: Convert to fraction form
    22,532.16/33,798.69 = 6,949.78/x
  3. Step 3: Cross multiply
    22,532.16x = 33,798.69 × 6,949.78
  4. Step 4: Simplify right side
    22,532.16x = 234,893,459.79
  5. Step 5: Solve for x
    x = 234,893,459.79/22,532.16
  6. Step 6: Final answer
    x = 10,424.81

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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.