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Finding the Fourth Proportional to 12,252, 16,907.84 and 6,663.04

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Solution

The fourth proportional to 12,252, 16,907.84 and 6,663.04 is: 9,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252 : 16,907.84 = 6,663.04 : x
  2. Step 2: Convert to fraction form
    12,252/16,907.84 = 6,663.04/x
  3. Step 3: Cross multiply
    12,252x = 16,907.84 × 6,663.04
  4. Step 4: Simplify right side
    12,252x = 112,657,614.23
  5. Step 5: Solve for x
    x = 112,657,614.23/12,252
  6. Step 6: Final answer
    x = 9,195.04

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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.