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Finding the Fourth Proportional to 7,206.52, 9,944.87 and 4,062.71

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Solution

The fourth proportional to 7,206.52, 9,944.87 and 4,062.71 is: 5,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.52 : 9,944.87 = 4,062.71 : x
  2. Step 2: Convert to fraction form
    7,206.52/9,944.87 = 4,062.71/x
  3. Step 3: Cross multiply
    7,206.52x = 9,944.87 × 4,062.71
  4. Step 4: Simplify right side
    7,206.52x = 40,403,102.48
  5. Step 5: Solve for x
    x = 40,403,102.48/7,206.52
  6. Step 6: Final answer
    x = 5,606.47

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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.