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Finding the Fourth Proportional to 9,199.92, 13,799.97 and 2,274.42

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Solution

The fourth proportional to 9,199.92, 13,799.97 and 2,274.42 is: 3,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.92 : 13,799.97 = 2,274.42 : x
  2. Step 2: Convert to fraction form
    9,199.92/13,799.97 = 2,274.42/x
  3. Step 3: Cross multiply
    9,199.92x = 13,799.97 × 2,274.42
  4. Step 4: Simplify right side
    9,199.92x = 31,386,927.77
  5. Step 5: Solve for x
    x = 31,386,927.77/9,199.92
  6. Step 6: Final answer
    x = 3,411.65

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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.