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Finding the Fourth Proportional to 10,049.92, 15,078.48 and 3,476.76

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Solution

The fourth proportional to 10,049.92, 15,078.48 and 3,476.76 is: 5,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.92 : 15,078.48 = 3,476.76 : x
  2. Step 2: Convert to fraction form
    10,049.92/15,078.48 = 3,476.76/x
  3. Step 3: Cross multiply
    10,049.92x = 15,078.48 × 3,476.76
  4. Step 4: Simplify right side
    10,049.92x = 52,424,256.12
  5. Step 5: Solve for x
    x = 52,424,256.12/10,049.92
  6. Step 6: Final answer
    x = 5,216.39

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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.