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Finding the Fourth Proportional to 10,657.86, 15,972.66 and 5,659.20

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Solution

The fourth proportional to 10,657.86, 15,972.66 and 5,659.20 is: 8,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.86 : 15,972.66 = 5,659.20 : x
  2. Step 2: Convert to fraction form
    10,657.86/15,972.66 = 5,659.20/x
  3. Step 3: Cross multiply
    10,657.86x = 15,972.66 × 5,659.20
  4. Step 4: Simplify right side
    10,657.86x = 90,392,477.47
  5. Step 5: Solve for x
    x = 90,392,477.47/10,657.86
  6. Step 6: Final answer
    x = 8,481.30

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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.