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Finding the Fourth Proportional to 24,605.73, 36,914.43 and 7,965.76

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Solution

The fourth proportional to 24,605.73, 36,914.43 and 7,965.76 is: 11,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.73 : 36,914.43 = 7,965.76 : x
  2. Step 2: Convert to fraction form
    24,605.73/36,914.43 = 7,965.76/x
  3. Step 3: Cross multiply
    24,605.73x = 36,914.43 × 7,965.76
  4. Step 4: Simplify right side
    24,605.73x = 294,051,489.92
  5. Step 5: Solve for x
    x = 294,051,489.92/24,605.73
  6. Step 6: Final answer
    x = 11,950.53

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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.