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Finding the Fourth Proportional to 6,098.12, 8,409.12 and 5,216.84

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Solution

The fourth proportional to 6,098.12, 8,409.12 and 5,216.84 is: 7,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.12 : 8,409.12 = 5,216.84 : x
  2. Step 2: Convert to fraction form
    6,098.12/8,409.12 = 5,216.84/x
  3. Step 3: Cross multiply
    6,098.12x = 8,409.12 × 5,216.84
  4. Step 4: Simplify right side
    6,098.12x = 43,869,033.58
  5. Step 5: Solve for x
    x = 43,869,033.58/6,098.12
  6. Step 6: Final answer
    x = 7,193.86

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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.