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Finding the Fourth Proportional to 22,129.68, 33,191.01 and 7,338

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Solution

The fourth proportional to 22,129.68, 33,191.01 and 7,338 is: 11,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.68 : 33,191.01 = 7,338 : x
  2. Step 2: Convert to fraction form
    22,129.68/33,191.01 = 7,338/x
  3. Step 3: Cross multiply
    22,129.68x = 33,191.01 × 7,338
  4. Step 4: Simplify right side
    22,129.68x = 243,555,631.38
  5. Step 5: Solve for x
    x = 243,555,631.38/22,129.68
  6. Step 6: Final answer
    x = 11,005.84

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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.