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Finding the Fourth Proportional to 5,949.73, 8,214.63 and 5,318.24

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Solution

The fourth proportional to 5,949.73, 8,214.63 and 5,318.24 is: 7,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.73 : 8,214.63 = 5,318.24 : x
  2. Step 2: Convert to fraction form
    5,949.73/8,214.63 = 5,318.24/x
  3. Step 3: Cross multiply
    5,949.73x = 8,214.63 × 5,318.24
  4. Step 4: Simplify right side
    5,949.73x = 43,687,332.78
  5. Step 5: Solve for x
    x = 43,687,332.78/5,949.73
  6. Step 6: Final answer
    x = 7,342.75

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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.