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Finding the Fourth Proportional to 6,118.46, 8,447.06 and 4,438.25

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Solution

The fourth proportional to 6,118.46, 8,447.06 and 4,438.25 is: 6,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.46 : 8,447.06 = 4,438.25 : x
  2. Step 2: Convert to fraction form
    6,118.46/8,447.06 = 4,438.25/x
  3. Step 3: Cross multiply
    6,118.46x = 8,447.06 × 4,438.25
  4. Step 4: Simplify right side
    6,118.46x = 37,490,164.05
  5. Step 5: Solve for x
    x = 37,490,164.05/6,118.46
  6. Step 6: Final answer
    x = 6,127.39

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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.