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Finding the Fourth Proportional to 24,470.98, 36,708.89 and 7,826.83

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Solution

The fourth proportional to 24,470.98, 36,708.89 and 7,826.83 is: 11,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.98 : 36,708.89 = 7,826.83 : x
  2. Step 2: Convert to fraction form
    24,470.98/36,708.89 = 7,826.83/x
  3. Step 3: Cross multiply
    24,470.98x = 36,708.89 × 7,826.83
  4. Step 4: Simplify right side
    24,470.98x = 287,314,241.52
  5. Step 5: Solve for x
    x = 287,314,241.52/24,470.98
  6. Step 6: Final answer
    x = 11,741.02

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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.