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Finding the Fourth Proportional to 6,998.56, 10,500.40 and 3,348

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Solution

The fourth proportional to 6,998.56, 10,500.40 and 3,348 is: 5,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.56 : 10,500.40 = 3,348 : x
  2. Step 2: Convert to fraction form
    6,998.56/10,500.40 = 3,348/x
  3. Step 3: Cross multiply
    6,998.56x = 10,500.40 × 3,348
  4. Step 4: Simplify right side
    6,998.56x = 35,155,339.20
  5. Step 5: Solve for x
    x = 35,155,339.20/6,998.56
  6. Step 6: Final answer
    x = 5,023.22

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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.