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Finding the Fourth Proportional to 22,337.84, 33,503.10 and 7,546.43

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Solution

The fourth proportional to 22,337.84, 33,503.10 and 7,546.43 is: 11,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.84 : 33,503.10 = 7,546.43 : x
  2. Step 2: Convert to fraction form
    22,337.84/33,503.10 = 7,546.43/x
  3. Step 3: Cross multiply
    22,337.84x = 33,503.10 × 7,546.43
  4. Step 4: Simplify right side
    22,337.84x = 252,828,798.93
  5. Step 5: Solve for x
    x = 252,828,798.93/22,337.84
  6. Step 6: Final answer
    x = 11,318.41

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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.