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Finding the Fourth Proportional to 22,543.38, 33,821.15 and 7,752.58

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Solution

The fourth proportional to 22,543.38, 33,821.15 and 7,752.58 is: 11,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.38 : 33,821.15 = 7,752.58 : x
  2. Step 2: Convert to fraction form
    22,543.38/33,821.15 = 7,752.58/x
  3. Step 3: Cross multiply
    22,543.38x = 33,821.15 × 7,752.58
  4. Step 4: Simplify right side
    22,543.38x = 262,201,047.75
  5. Step 5: Solve for x
    x = 262,201,047.75/22,543.38
  6. Step 6: Final answer
    x = 11,630.96

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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.