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Finding the Fourth Proportional to 9,248.68, 12,764.73 and 7,274.26

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Solution

The fourth proportional to 9,248.68, 12,764.73 and 7,274.26 is: 10,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.68 : 12,764.73 = 7,274.26 : x
  2. Step 2: Convert to fraction form
    9,248.68/12,764.73 = 7,274.26/x
  3. Step 3: Cross multiply
    9,248.68x = 12,764.73 × 7,274.26
  4. Step 4: Simplify right side
    9,248.68x = 92,853,964.85
  5. Step 5: Solve for x
    x = 92,853,964.85/9,248.68
  6. Step 6: Final answer
    x = 10,039.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.