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Finding the Fourth Proportional to 8,209.80, 12,314.70 and 4,929.30

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Solution

The fourth proportional to 8,209.80, 12,314.70 and 4,929.30 is: 7,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.80 : 12,314.70 = 4,929.30 : x
  2. Step 2: Convert to fraction form
    8,209.80/12,314.70 = 4,929.30/x
  3. Step 3: Cross multiply
    8,209.80x = 12,314.70 × 4,929.30
  4. Step 4: Simplify right side
    8,209.80x = 60,702,850.71
  5. Step 5: Solve for x
    x = 60,702,850.71/8,209.80
  6. Step 6: Final answer
    x = 7,393.95

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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.