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Finding the Fourth Proportional to 7,202.48, 9,935.97 and 4,216.47

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Solution

The fourth proportional to 7,202.48, 9,935.97 and 4,216.47 is: 5,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.48 : 9,935.97 = 4,216.47 : x
  2. Step 2: Convert to fraction form
    7,202.48/9,935.97 = 4,216.47/x
  3. Step 3: Cross multiply
    7,202.48x = 9,935.97 × 4,216.47
  4. Step 4: Simplify right side
    7,202.48x = 41,894,719.43
  5. Step 5: Solve for x
    x = 41,894,719.43/7,202.48
  6. Step 6: Final answer
    x = 5,816.71

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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.