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Finding the Fourth Proportional to 6,098.70, 8,422.18 and 5,209.32

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Solution

The fourth proportional to 6,098.70, 8,422.18 and 5,209.32 is: 7,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.70 : 8,422.18 = 5,209.32 : x
  2. Step 2: Convert to fraction form
    6,098.70/8,422.18 = 5,209.32/x
  3. Step 3: Cross multiply
    6,098.70x = 8,422.18 × 5,209.32
  4. Step 4: Simplify right side
    6,098.70x = 43,873,830.72
  5. Step 5: Solve for x
    x = 43,873,830.72/6,098.70
  6. Step 6: Final answer
    x = 7,193.96

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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.