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Finding the Fourth Proportional to 7,227.57, 9,972.02 and 4,539.08

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Solution

The fourth proportional to 7,227.57, 9,972.02 and 4,539.08 is: 6,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.57 : 9,972.02 = 4,539.08 : x
  2. Step 2: Convert to fraction form
    7,227.57/9,972.02 = 4,539.08/x
  3. Step 3: Cross multiply
    7,227.57x = 9,972.02 × 4,539.08
  4. Step 4: Simplify right side
    7,227.57x = 45,263,723.99
  5. Step 5: Solve for x
    x = 45,263,723.99/7,227.57
  6. Step 6: Final answer
    x = 6,262.65

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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.