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Finding the Fourth Proportional to 7,197.64, 10,799.04 and 2,267.56

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Solution

The fourth proportional to 7,197.64, 10,799.04 and 2,267.56 is: 3,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.64 : 10,799.04 = 2,267.56 : x
  2. Step 2: Convert to fraction form
    7,197.64/10,799.04 = 2,267.56/x
  3. Step 3: Cross multiply
    7,197.64x = 10,799.04 × 2,267.56
  4. Step 4: Simplify right side
    7,197.64x = 24,487,471.14
  5. Step 5: Solve for x
    x = 24,487,471.14/7,197.64
  6. Step 6: Final answer
    x = 3,402.15

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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.