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Finding the Fourth Proportional to 11,294.44, 15,591.78 and 7,523.92

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Solution

The fourth proportional to 11,294.44, 15,591.78 and 7,523.92 is: 10,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.44 : 15,591.78 = 7,523.92 : x
  2. Step 2: Convert to fraction form
    11,294.44/15,591.78 = 7,523.92/x
  3. Step 3: Cross multiply
    11,294.44x = 15,591.78 × 7,523.92
  4. Step 4: Simplify right side
    11,294.44x = 117,311,305.38
  5. Step 5: Solve for x
    x = 117,311,305.38/11,294.44
  6. Step 6: Final answer
    x = 10,386.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.