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Finding the Fourth Proportional to 9,322.80, 13,983.92 and 2,749.12

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Solution

The fourth proportional to 9,322.80, 13,983.92 and 2,749.12 is: 4,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.80 : 13,983.92 = 2,749.12 : x
  2. Step 2: Convert to fraction form
    9,322.80/13,983.92 = 2,749.12/x
  3. Step 3: Cross multiply
    9,322.80x = 13,983.92 × 2,749.12
  4. Step 4: Simplify right side
    9,322.80x = 38,443,474.15
  5. Step 5: Solve for x
    x = 38,443,474.15/9,322.80
  6. Step 6: Final answer
    x = 4,123.60

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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.