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Finding the Fourth Proportional to 10,463.16, 14,450.49 and 6,493.74

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Solution

The fourth proportional to 10,463.16, 14,450.49 and 6,493.74 is: 8,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.16 : 14,450.49 = 6,493.74 : x
  2. Step 2: Convert to fraction form
    10,463.16/14,450.49 = 6,493.74/x
  3. Step 3: Cross multiply
    10,463.16x = 14,450.49 × 6,493.74
  4. Step 4: Simplify right side
    10,463.16x = 93,837,724.93
  5. Step 5: Solve for x
    x = 93,837,724.93/10,463.16
  6. Step 6: Final answer
    x = 8,968.39

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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.