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Finding the Fourth Proportional to 8,330, 12,496.62 and 3,713

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Solution

The fourth proportional to 8,330, 12,496.62 and 3,713 is: 5,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330 : 12,496.62 = 3,713 : x
  2. Step 2: Convert to fraction form
    8,330/12,496.62 = 3,713/x
  3. Step 3: Cross multiply
    8,330x = 12,496.62 × 3,713
  4. Step 4: Simplify right side
    8,330x = 46,399,950.06
  5. Step 5: Solve for x
    x = 46,399,950.06/8,330
  6. Step 6: Final answer
    x = 5,570.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.