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Finding the Fourth Proportional to 6,801.60, 10,202.40 and 5,708.10

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Solution

The fourth proportional to 6,801.60, 10,202.40 and 5,708.10 is: 8,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.60 : 10,202.40 = 5,708.10 : x
  2. Step 2: Convert to fraction form
    6,801.60/10,202.40 = 5,708.10/x
  3. Step 3: Cross multiply
    6,801.60x = 10,202.40 × 5,708.10
  4. Step 4: Simplify right side
    6,801.60x = 58,236,319.44
  5. Step 5: Solve for x
    x = 58,236,319.44/6,801.60
  6. Step 6: Final answer
    x = 8,562.15

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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.