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Finding the Fourth Proportional to 11,765.14, 17,642.12 and 6,836.20

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Solution

The fourth proportional to 11,765.14, 17,642.12 and 6,836.20 is: 10,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.14 : 17,642.12 = 6,836.20 : x
  2. Step 2: Convert to fraction form
    11,765.14/17,642.12 = 6,836.20/x
  3. Step 3: Cross multiply
    11,765.14x = 17,642.12 × 6,836.20
  4. Step 4: Simplify right side
    11,765.14x = 120,605,060.74
  5. Step 5: Solve for x
    x = 120,605,060.74/11,765.14
  6. Step 6: Final answer
    x = 10,251.05

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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.