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Finding the Fourth Proportional to 7,346.70, 10,131 and 6,287.98

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Solution

The fourth proportional to 7,346.70, 10,131 and 6,287.98 is: 8,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.70 : 10,131 = 6,287.98 : x
  2. Step 2: Convert to fraction form
    7,346.70/10,131 = 6,287.98/x
  3. Step 3: Cross multiply
    7,346.70x = 10,131 × 6,287.98
  4. Step 4: Simplify right side
    7,346.70x = 63,703,525.38
  5. Step 5: Solve for x
    x = 63,703,525.38/7,346.70
  6. Step 6: Final answer
    x = 8,671.04

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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.