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Finding the Fourth Proportional to 24,431.40, 36,647.10 and 8,847

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Solution

The fourth proportional to 24,431.40, 36,647.10 and 8,847 is: 13,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.40 : 36,647.10 = 8,847 : x
  2. Step 2: Convert to fraction form
    24,431.40/36,647.10 = 8,847/x
  3. Step 3: Cross multiply
    24,431.40x = 36,647.10 × 8,847
  4. Step 4: Simplify right side
    24,431.40x = 324,216,893.70
  5. Step 5: Solve for x
    x = 324,216,893.70/24,431.40
  6. Step 6: Final answer
    x = 13,270.50

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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.