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Finding the Fourth Proportional to 24,525.84, 36,785.25 and 7,883.68

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Solution

The fourth proportional to 24,525.84, 36,785.25 and 7,883.68 is: 11,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525.84 : 36,785.25 = 7,883.68 : x
  2. Step 2: Convert to fraction form
    24,525.84/36,785.25 = 7,883.68/x
  3. Step 3: Cross multiply
    24,525.84x = 36,785.25 × 7,883.68
  4. Step 4: Simplify right side
    24,525.84x = 290,003,139.72
  5. Step 5: Solve for x
    x = 290,003,139.72/24,525.84
  6. Step 6: Final answer
    x = 11,824.39

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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.