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Finding the Fourth Proportional to 7,242, 9,994.46 and 4,098.20

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Solution

The fourth proportional to 7,242, 9,994.46 and 4,098.20 is: 5,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242 : 9,994.46 = 4,098.20 : x
  2. Step 2: Convert to fraction form
    7,242/9,994.46 = 4,098.20/x
  3. Step 3: Cross multiply
    7,242x = 9,994.46 × 4,098.20
  4. Step 4: Simplify right side
    7,242x = 40,959,295.97
  5. Step 5: Solve for x
    x = 40,959,295.97/7,242
  6. Step 6: Final answer
    x = 5,655.80

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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.