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Finding the Fourth Proportional to 12,702, 19,046.04 and 4,377.36

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Solution

The fourth proportional to 12,702, 19,046.04 and 4,377.36 is: 6,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702 : 19,046.04 = 4,377.36 : x
  2. Step 2: Convert to fraction form
    12,702/19,046.04 = 4,377.36/x
  3. Step 3: Cross multiply
    12,702x = 19,046.04 × 4,377.36
  4. Step 4: Simplify right side
    12,702x = 83,371,373.65
  5. Step 5: Solve for x
    x = 83,371,373.65/12,702
  6. Step 6: Final answer
    x = 6,563.64

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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.