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Finding the Fourth Proportional to 24,495.96, 36,744.24 and 6,965.76

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Solution

The fourth proportional to 24,495.96, 36,744.24 and 6,965.76 is: 10,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.96 : 36,744.24 = 6,965.76 : x
  2. Step 2: Convert to fraction form
    24,495.96/36,744.24 = 6,965.76/x
  3. Step 3: Cross multiply
    24,495.96x = 36,744.24 × 6,965.76
  4. Step 4: Simplify right side
    24,495.96x = 255,951,557.22
  5. Step 5: Solve for x
    x = 255,951,557.22/24,495.96
  6. Step 6: Final answer
    x = 10,448.73

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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.