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Finding the Fourth Proportional to 12,694, 19,034.04 and 4,369.36

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Solution

The fourth proportional to 12,694, 19,034.04 and 4,369.36 is: 6,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694 : 19,034.04 = 4,369.36 : x
  2. Step 2: Convert to fraction form
    12,694/19,034.04 = 4,369.36/x
  3. Step 3: Cross multiply
    12,694x = 19,034.04 × 4,369.36
  4. Step 4: Simplify right side
    12,694x = 83,166,573.01
  5. Step 5: Solve for x
    x = 83,166,573.01/12,694
  6. Step 6: Final answer
    x = 6,551.64

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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.