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Finding the Fourth Proportional to 12,006.39, 16,569.06 and 6,971.04

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Solution

The fourth proportional to 12,006.39, 16,569.06 and 6,971.04 is: 9,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.39 : 16,569.06 = 6,971.04 : x
  2. Step 2: Convert to fraction form
    12,006.39/16,569.06 = 6,971.04/x
  3. Step 3: Cross multiply
    12,006.39x = 16,569.06 × 6,971.04
  4. Step 4: Simplify right side
    12,006.39x = 115,503,580.02
  5. Step 5: Solve for x
    x = 115,503,580.02/12,006.39
  6. Step 6: Final answer
    x = 9,620.18

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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.