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Finding the Fourth Proportional to 10,608.96, 15,889.21 and 5,066.20

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Solution

The fourth proportional to 10,608.96, 15,889.21 and 5,066.20 is: 7,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.96 : 15,889.21 = 5,066.20 : x
  2. Step 2: Convert to fraction form
    10,608.96/15,889.21 = 5,066.20/x
  3. Step 3: Cross multiply
    10,608.96x = 15,889.21 × 5,066.20
  4. Step 4: Simplify right side
    10,608.96x = 80,497,996.08
  5. Step 5: Solve for x
    x = 80,497,996.08/10,608.96
  6. Step 6: Final answer
    x = 7,587.74

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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.