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Finding the Fourth Proportional to 11,569.14, 15,965.49 and 6,264

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Solution

The fourth proportional to 11,569.14, 15,965.49 and 6,264 is: 8,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.14 : 15,965.49 = 6,264 : x
  2. Step 2: Convert to fraction form
    11,569.14/15,965.49 = 6,264/x
  3. Step 3: Cross multiply
    11,569.14x = 15,965.49 × 6,264
  4. Step 4: Simplify right side
    11,569.14x = 100,007,829.36
  5. Step 5: Solve for x
    x = 100,007,829.36/11,569.14
  6. Step 6: Final answer
    x = 8,644.36

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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.