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Finding the Fourth Proportional to 7,200.97, 9,933.91 and 4,214.97

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Solution

The fourth proportional to 7,200.97, 9,933.91 and 4,214.97 is: 5,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.97 : 9,933.91 = 4,214.97 : x
  2. Step 2: Convert to fraction form
    7,200.97/9,933.91 = 4,214.97/x
  3. Step 3: Cross multiply
    7,200.97x = 9,933.91 × 4,214.97
  4. Step 4: Simplify right side
    7,200.97x = 41,871,122.10
  5. Step 5: Solve for x
    x = 41,871,122.10/7,200.97
  6. Step 6: Final answer
    x = 5,814.65

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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.