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Finding the Fourth Proportional to 24,604.47, 36,912.56 and 7,964.50

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Solution

The fourth proportional to 24,604.47, 36,912.56 and 7,964.50 is: 11,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604.47 : 36,912.56 = 7,964.50 : x
  2. Step 2: Convert to fraction form
    24,604.47/36,912.56 = 7,964.50/x
  3. Step 3: Cross multiply
    24,604.47x = 36,912.56 × 7,964.50
  4. Step 4: Simplify right side
    24,604.47x = 293,990,084.12
  5. Step 5: Solve for x
    x = 293,990,084.12/24,604.47
  6. Step 6: Final answer
    x = 11,948.65

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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.