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Finding the Fourth Proportional to 9,279.68, 13,983.19 and 7,672.24

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Solution

The fourth proportional to 9,279.68, 13,983.19 and 7,672.24 is: 11,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.68 : 13,983.19 = 7,672.24 : x
  2. Step 2: Convert to fraction form
    9,279.68/13,983.19 = 7,672.24/x
  3. Step 3: Cross multiply
    9,279.68x = 13,983.19 × 7,672.24
  4. Step 4: Simplify right side
    9,279.68x = 107,282,298.50
  5. Step 5: Solve for x
    x = 107,282,298.50/9,279.68
  6. Step 6: Final answer
    x = 11,560.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.