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Finding the Fourth Proportional to 10,226.77, 14,114.00 and 6,250.53

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Solution

The fourth proportional to 10,226.77, 14,114.00 and 6,250.53 is: 8,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.77 : 14,114.00 = 6,250.53 : x
  2. Step 2: Convert to fraction form
    10,226.77/14,114.00 = 6,250.53/x
  3. Step 3: Cross multiply
    10,226.77x = 14,114.00 × 6,250.53
  4. Step 4: Simplify right side
    10,226.77x = 88,220,048.97
  5. Step 5: Solve for x
    x = 88,220,048.97/10,226.77
  6. Step 6: Final answer
    x = 8,626.39

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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.