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Finding the Fourth Proportional to 10,597.98, 14,627.34 and 6,122.46

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Solution

The fourth proportional to 10,597.98, 14,627.34 and 6,122.46 is: 8,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.98 : 14,627.34 = 6,122.46 : x
  2. Step 2: Convert to fraction form
    10,597.98/14,627.34 = 6,122.46/x
  3. Step 3: Cross multiply
    10,597.98x = 14,627.34 × 6,122.46
  4. Step 4: Simplify right side
    10,597.98x = 89,555,304.06
  5. Step 5: Solve for x
    x = 89,555,304.06/10,597.98
  6. Step 6: Final answer
    x = 8,450.22

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