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Finding the Fourth Proportional to 24,412.98, 36,619.11 and 7,772.82

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Solution

The fourth proportional to 24,412.98, 36,619.11 and 7,772.82 is: 11,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412.98 : 36,619.11 = 7,772.82 : x
  2. Step 2: Convert to fraction form
    24,412.98/36,619.11 = 7,772.82/x
  3. Step 3: Cross multiply
    24,412.98x = 36,619.11 × 7,772.82
  4. Step 4: Simplify right side
    24,412.98x = 284,633,750.59
  5. Step 5: Solve for x
    x = 284,633,750.59/24,412.98
  6. Step 6: Final answer
    x = 11,659.12

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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.