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Finding the Fourth Proportional to 24,974.94, 37,464.92 and 7,206.04

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Solution

The fourth proportional to 24,974.94, 37,464.92 and 7,206.04 is: 10,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974.94 : 37,464.92 = 7,206.04 : x
  2. Step 2: Convert to fraction form
    24,974.94/37,464.92 = 7,206.04/x
  3. Step 3: Cross multiply
    24,974.94x = 37,464.92 × 7,206.04
  4. Step 4: Simplify right side
    24,974.94x = 269,973,712.12
  5. Step 5: Solve for x
    x = 269,973,712.12/24,974.94
  6. Step 6: Final answer
    x = 10,809.78

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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.