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Finding the Fourth Proportional to 7,202.88, 10,821.60 and 4,610.88

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Solution

The fourth proportional to 7,202.88, 10,821.60 and 4,610.88 is: 6,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.88 : 10,821.60 = 4,610.88 : x
  2. Step 2: Convert to fraction form
    7,202.88/10,821.60 = 4,610.88/x
  3. Step 3: Cross multiply
    7,202.88x = 10,821.60 × 4,610.88
  4. Step 4: Simplify right side
    7,202.88x = 49,897,099.01
  5. Step 5: Solve for x
    x = 49,897,099.01/7,202.88
  6. Step 6: Final answer
    x = 6,927.38

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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.