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Finding the Fourth Proportional to 6,825.20, 10,237.80 and 2,208.20

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Solution

The fourth proportional to 6,825.20, 10,237.80 and 2,208.20 is: 3,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.20 : 10,237.80 = 2,208.20 : x
  2. Step 2: Convert to fraction form
    6,825.20/10,237.80 = 2,208.20/x
  3. Step 3: Cross multiply
    6,825.20x = 10,237.80 × 2,208.20
  4. Step 4: Simplify right side
    6,825.20x = 22,607,109.96
  5. Step 5: Solve for x
    x = 22,607,109.96/6,825.20
  6. Step 6: Final answer
    x = 3,312.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.