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Finding the Fourth Proportional to 9,306.60, 13,947.10 and 8,205.80

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Solution

The fourth proportional to 9,306.60, 13,947.10 and 8,205.80 is: 12,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.60 : 13,947.10 = 8,205.80 : x
  2. Step 2: Convert to fraction form
    9,306.60/13,947.10 = 8,205.80/x
  3. Step 3: Cross multiply
    9,306.60x = 13,947.10 × 8,205.80
  4. Step 4: Simplify right side
    9,306.60x = 114,447,113.18
  5. Step 5: Solve for x
    x = 114,447,113.18/9,306.60
  6. Step 6: Final answer
    x = 12,297.41

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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.