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Finding the Fourth Proportional to 24,175.78, 36,262.95 and 6,646.66

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Solution

The fourth proportional to 24,175.78, 36,262.95 and 6,646.66 is: 9,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.78 : 36,262.95 = 6,646.66 : x
  2. Step 2: Convert to fraction form
    24,175.78/36,262.95 = 6,646.66/x
  3. Step 3: Cross multiply
    24,175.78x = 36,262.95 × 6,646.66
  4. Step 4: Simplify right side
    24,175.78x = 241,027,499.25
  5. Step 5: Solve for x
    x = 241,027,499.25/24,175.78
  6. Step 6: Final answer
    x = 9,969.79

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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.