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Finding the Fourth Proportional to 7,209.80, 10,819.25 and 2,827.14

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Solution

The fourth proportional to 7,209.80, 10,819.25 and 2,827.14 is: 4,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.80 : 10,819.25 = 2,827.14 : x
  2. Step 2: Convert to fraction form
    7,209.80/10,819.25 = 2,827.14/x
  3. Step 3: Cross multiply
    7,209.80x = 10,819.25 × 2,827.14
  4. Step 4: Simplify right side
    7,209.80x = 30,587,534.45
  5. Step 5: Solve for x
    x = 30,587,534.45/7,209.80
  6. Step 6: Final answer
    x = 4,242.49

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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.