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Finding the Fourth Proportional to 10,949.77, 16,497.97 and 9,910.95

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Solution

The fourth proportional to 10,949.77, 16,497.97 and 9,910.95 is: 14,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.77 : 16,497.97 = 9,910.95 : x
  2. Step 2: Convert to fraction form
    10,949.77/16,497.97 = 9,910.95/x
  3. Step 3: Cross multiply
    10,949.77x = 16,497.97 × 9,910.95
  4. Step 4: Simplify right side
    10,949.77x = 163,510,555.77
  5. Step 5: Solve for x
    x = 163,510,555.77/10,949.77
  6. Step 6: Final answer
    x = 14,932.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.