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Finding the Fourth Proportional to 10,777.14, 16,149.17 and 7,254.11

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Solution

The fourth proportional to 10,777.14, 16,149.17 and 7,254.11 is: 10,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.14 : 16,149.17 = 7,254.11 : x
  2. Step 2: Convert to fraction form
    10,777.14/16,149.17 = 7,254.11/x
  3. Step 3: Cross multiply
    10,777.14x = 16,149.17 × 7,254.11
  4. Step 4: Simplify right side
    10,777.14x = 117,147,738.57
  5. Step 5: Solve for x
    x = 117,147,738.57/10,777.14
  6. Step 6: Final answer
    x = 10,870.02

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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.