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Finding the Fourth Proportional to 12,697.14, 19,046.97 and 4,376.04

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Solution

The fourth proportional to 12,697.14, 19,046.97 and 4,376.04 is: 6,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.14 : 19,046.97 = 4,376.04 : x
  2. Step 2: Convert to fraction form
    12,697.14/19,046.97 = 4,376.04/x
  3. Step 3: Cross multiply
    12,697.14x = 19,046.97 × 4,376.04
  4. Step 4: Simplify right side
    12,697.14x = 83,350,302.60
  5. Step 5: Solve for x
    x = 83,350,302.60/12,697.14
  6. Step 6: Final answer
    x = 6,564.49

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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.