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Finding the Fourth Proportional to 27,301.60, 40,944.14 and 10,657.12

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Solution

The fourth proportional to 27,301.60, 40,944.14 and 10,657.12 is: 15,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,301.60 : 40,944.14 = 10,657.12 : x
  2. Step 2: Convert to fraction form
    27,301.60/40,944.14 = 10,657.12/x
  3. Step 3: Cross multiply
    27,301.60x = 40,944.14 × 10,657.12
  4. Step 4: Simplify right side
    27,301.60x = 436,346,613.28
  5. Step 5: Solve for x
    x = 436,346,613.28/27,301.60
  6. Step 6: Final answer
    x = 15,982.46

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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.