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Finding the Fourth Proportional to 6,652.12, 9,978.06 and 2,035

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Solution

The fourth proportional to 6,652.12, 9,978.06 and 2,035 is: 3,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.12 : 9,978.06 = 2,035 : x
  2. Step 2: Convert to fraction form
    6,652.12/9,978.06 = 2,035/x
  3. Step 3: Cross multiply
    6,652.12x = 9,978.06 × 2,035
  4. Step 4: Simplify right side
    6,652.12x = 20,305,352.10
  5. Step 5: Solve for x
    x = 20,305,352.10/6,652.12
  6. Step 6: Final answer
    x = 3,052.46

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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.