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Finding the Fourth Proportional to 11,433.57, 15,780.96 and 7,447.74

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Solution

The fourth proportional to 11,433.57, 15,780.96 and 7,447.74 is: 10,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.57 : 15,780.96 = 7,447.74 : x
  2. Step 2: Convert to fraction form
    11,433.57/15,780.96 = 7,447.74/x
  3. Step 3: Cross multiply
    11,433.57x = 15,780.96 × 7,447.74
  4. Step 4: Simplify right side
    11,433.57x = 117,532,487.03
  5. Step 5: Solve for x
    x = 117,532,487.03/11,433.57
  6. Step 6: Final answer
    x = 10,279.60

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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.