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Finding the Fourth Proportional to 24,645.94, 36,971.97 and 9,651.12

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Solution

The fourth proportional to 24,645.94, 36,971.97 and 9,651.12 is: 14,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,645.94 : 36,971.97 = 9,651.12 : x
  2. Step 2: Convert to fraction form
    24,645.94/36,971.97 = 9,651.12/x
  3. Step 3: Cross multiply
    24,645.94x = 36,971.97 × 9,651.12
  4. Step 4: Simplify right side
    24,645.94x = 356,820,919.11
  5. Step 5: Solve for x
    x = 356,820,919.11/24,645.94
  6. Step 6: Final answer
    x = 14,477.88

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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.