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Finding the Fourth Proportional to 6,886.20, 10,340.10 and 3,970.20

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Solution

The fourth proportional to 6,886.20, 10,340.10 and 3,970.20 is: 5,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.20 : 10,340.10 = 3,970.20 : x
  2. Step 2: Convert to fraction form
    6,886.20/10,340.10 = 3,970.20/x
  3. Step 3: Cross multiply
    6,886.20x = 10,340.10 × 3,970.20
  4. Step 4: Simplify right side
    6,886.20x = 41,052,265.02
  5. Step 5: Solve for x
    x = 41,052,265.02/6,886.20
  6. Step 6: Final answer
    x = 5,961.53

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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.