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Finding the Fourth Proportional to 9,291.56, 13,947.18 and 9,082.76

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Solution

The fourth proportional to 9,291.56, 13,947.18 and 9,082.76 is: 13,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.56 : 13,947.18 = 9,082.76 : x
  2. Step 2: Convert to fraction form
    9,291.56/13,947.18 = 9,082.76/x
  3. Step 3: Cross multiply
    9,291.56x = 13,947.18 × 9,082.76
  4. Step 4: Simplify right side
    9,291.56x = 126,678,888.62
  5. Step 5: Solve for x
    x = 126,678,888.62/9,291.56
  6. Step 6: Final answer
    x = 13,633.76

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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.