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Finding the Fourth Proportional to 10,508.96, 15,765.10 and 3,114.16

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Solution

The fourth proportional to 10,508.96, 15,765.10 and 3,114.16 is: 4,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.96 : 15,765.10 = 3,114.16 : x
  2. Step 2: Convert to fraction form
    10,508.96/15,765.10 = 3,114.16/x
  3. Step 3: Cross multiply
    10,508.96x = 15,765.10 × 3,114.16
  4. Step 4: Simplify right side
    10,508.96x = 49,094,996.62
  5. Step 5: Solve for x
    x = 49,094,996.62/10,508.96
  6. Step 6: Final answer
    x = 4,671.73

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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.