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Finding the Fourth Proportional to 12,205.80, 16,852.05 and 7,498.17

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Solution

The fourth proportional to 12,205.80, 16,852.05 and 7,498.17 is: 10,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.80 : 16,852.05 = 7,498.17 : x
  2. Step 2: Convert to fraction form
    12,205.80/16,852.05 = 7,498.17/x
  3. Step 3: Cross multiply
    12,205.80x = 16,852.05 × 7,498.17
  4. Step 4: Simplify right side
    12,205.80x = 126,359,535.75
  5. Step 5: Solve for x
    x = 126,359,535.75/12,205.80
  6. Step 6: Final answer
    x = 10,352.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.