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Finding the Fourth Proportional to 24,425.60, 36,637.71 and 7,786.63

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Solution

The fourth proportional to 24,425.60, 36,637.71 and 7,786.63 is: 11,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.60 : 36,637.71 = 7,786.63 : x
  2. Step 2: Convert to fraction form
    24,425.60/36,637.71 = 7,786.63/x
  3. Step 3: Cross multiply
    24,425.60x = 36,637.71 × 7,786.63
  4. Step 4: Simplify right side
    24,425.60x = 285,284,291.82
  5. Step 5: Solve for x
    x = 285,284,291.82/24,425.60
  6. Step 6: Final answer
    x = 11,679.73

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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.