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Finding the Fourth Proportional to 10,597.01, 14,625.17 and 6,120.75

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Solution

The fourth proportional to 10,597.01, 14,625.17 and 6,120.75 is: 8,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.01 : 14,625.17 = 6,120.75 : x
  2. Step 2: Convert to fraction form
    10,597.01/14,625.17 = 6,120.75/x
  3. Step 3: Cross multiply
    10,597.01x = 14,625.17 × 6,120.75
  4. Step 4: Simplify right side
    10,597.01x = 89,517,033.52
  5. Step 5: Solve for x
    x = 89,517,033.52/10,597.01
  6. Step 6: Final answer
    x = 8,447.39

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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.