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Finding the Fourth Proportional to 7,209.59, 9,950.19 and 4,226.60

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Solution

The fourth proportional to 7,209.59, 9,950.19 and 4,226.60 is: 5,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.59 : 9,950.19 = 4,226.60 : x
  2. Step 2: Convert to fraction form
    7,209.59/9,950.19 = 4,226.60/x
  3. Step 3: Cross multiply
    7,209.59x = 9,950.19 × 4,226.60
  4. Step 4: Simplify right side
    7,209.59x = 42,055,473.05
  5. Step 5: Solve for x
    x = 42,055,473.05/7,209.59
  6. Step 6: Final answer
    x = 5,833.27

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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.