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Finding the Fourth Proportional to 24,374.22, 36,561.51 and 7,734.30

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Solution

The fourth proportional to 24,374.22, 36,561.51 and 7,734.30 is: 11,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374.22 : 36,561.51 = 7,734.30 : x
  2. Step 2: Convert to fraction form
    24,374.22/36,561.51 = 7,734.30/x
  3. Step 3: Cross multiply
    24,374.22x = 36,561.51 × 7,734.30
  4. Step 4: Simplify right side
    24,374.22x = 282,777,686.79
  5. Step 5: Solve for x
    x = 282,777,686.79/24,374.22
  6. Step 6: Final answer
    x = 11,601.51

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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.