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Finding the Fourth Proportional to 7,209.68, 9,949.37 and 4,224.92

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Solution

The fourth proportional to 7,209.68, 9,949.37 and 4,224.92 is: 5,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.68 : 9,949.37 = 4,224.92 : x
  2. Step 2: Convert to fraction form
    7,209.68/9,949.37 = 4,224.92/x
  3. Step 3: Cross multiply
    7,209.68x = 9,949.37 × 4,224.92
  4. Step 4: Simplify right side
    7,209.68x = 42,035,221.43
  5. Step 5: Solve for x
    x = 42,035,221.43/7,209.68
  6. Step 6: Final answer
    x = 5,830.39

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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.