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Finding the Fourth Proportional to 12,006.69, 16,569.88 and 6,701.46

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Solution

The fourth proportional to 12,006.69, 16,569.88 and 6,701.46 is: 9,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.69 : 16,569.88 = 6,701.46 : x
  2. Step 2: Convert to fraction form
    12,006.69/16,569.88 = 6,701.46/x
  3. Step 3: Cross multiply
    12,006.69x = 16,569.88 × 6,701.46
  4. Step 4: Simplify right side
    12,006.69x = 111,042,388.02
  5. Step 5: Solve for x
    x = 111,042,388.02/12,006.69
  6. Step 6: Final answer
    x = 9,248.38

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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.