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Finding the Fourth Proportional to 7,209.58, 9,948.33 and 4,224.73

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Solution

The fourth proportional to 7,209.58, 9,948.33 and 4,224.73 is: 5,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.58 : 9,948.33 = 4,224.73 : x
  2. Step 2: Convert to fraction form
    7,209.58/9,948.33 = 4,224.73/x
  3. Step 3: Cross multiply
    7,209.58x = 9,948.33 × 4,224.73
  4. Step 4: Simplify right side
    7,209.58x = 42,029,008.20
  5. Step 5: Solve for x
    x = 42,029,008.20/7,209.58
  6. Step 6: Final answer
    x = 5,829.61

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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.