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Finding the Fourth Proportional to 9,799.68, 14,700.80 and 2,874.24

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Solution

The fourth proportional to 9,799.68, 14,700.80 and 2,874.24 is: 4,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.68 : 14,700.80 = 2,874.24 : x
  2. Step 2: Convert to fraction form
    9,799.68/14,700.80 = 2,874.24/x
  3. Step 3: Cross multiply
    9,799.68x = 14,700.80 × 2,874.24
  4. Step 4: Simplify right side
    9,799.68x = 42,253,627.39
  5. Step 5: Solve for x
    x = 42,253,627.39/9,799.68
  6. Step 6: Final answer
    x = 4,311.74

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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.