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Finding the Fourth Proportional to 11,447.24, 15,788.03 and 7,248.20

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Solution

The fourth proportional to 11,447.24, 15,788.03 and 7,248.20 is: 9,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.24 : 15,788.03 = 7,248.20 : x
  2. Step 2: Convert to fraction form
    11,447.24/15,788.03 = 7,248.20/x
  3. Step 3: Cross multiply
    11,447.24x = 15,788.03 × 7,248.20
  4. Step 4: Simplify right side
    11,447.24x = 114,434,683.86
  5. Step 5: Solve for x
    x = 114,434,683.86/11,447.24
  6. Step 6: Final answer
    x = 9,996.71

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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.