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Finding the Fourth Proportional to 6,822.20, 9,200.25 and 6,822.20

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Solution

The fourth proportional to 6,822.20, 9,200.25 and 6,822.20 is: 9,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.20 : 9,200.25 = 6,822.20 : x
  2. Step 2: Convert to fraction form
    6,822.20/9,200.25 = 6,822.20/x
  3. Step 3: Cross multiply
    6,822.20x = 9,200.25 × 6,822.20
  4. Step 4: Simplify right side
    6,822.20x = 62,765,945.55
  5. Step 5: Solve for x
    x = 62,765,945.55/6,822.20
  6. Step 6: Final answer
    x = 9,200.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.