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Finding the Fourth Proportional to 6,652.13, 9,978.19 and 2,035.13

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Solution

The fourth proportional to 6,652.13, 9,978.19 and 2,035.13 is: 3,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.13 : 9,978.19 = 2,035.13 : x
  2. Step 2: Convert to fraction form
    6,652.13/9,978.19 = 2,035.13/x
  3. Step 3: Cross multiply
    6,652.13x = 9,978.19 × 2,035.13
  4. Step 4: Simplify right side
    6,652.13x = 20,306,858.84
  5. Step 5: Solve for x
    x = 20,306,858.84/6,652.13
  6. Step 6: Final answer
    x = 3,052.69

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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.