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Finding the Fourth Proportional to 6,098.60, 8,410.29 and 4,207.16

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Solution

The fourth proportional to 6,098.60, 8,410.29 and 4,207.16 is: 5,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.60 : 8,410.29 = 4,207.16 : x
  2. Step 2: Convert to fraction form
    6,098.60/8,410.29 = 4,207.16/x
  3. Step 3: Cross multiply
    6,098.60x = 8,410.29 × 4,207.16
  4. Step 4: Simplify right side
    6,098.60x = 35,383,435.68
  5. Step 5: Solve for x
    x = 35,383,435.68/6,098.60
  6. Step 6: Final answer
    x = 5,801.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.