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Finding the Fourth Proportional to 12,079, 16,669.07 and 7,046.70

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Solution

The fourth proportional to 12,079, 16,669.07 and 7,046.70 is: 9,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079 : 16,669.07 = 7,046.70 : x
  2. Step 2: Convert to fraction form
    12,079/16,669.07 = 7,046.70/x
  3. Step 3: Cross multiply
    12,079x = 16,669.07 × 7,046.70
  4. Step 4: Simplify right side
    12,079x = 117,461,935.57
  5. Step 5: Solve for x
    x = 117,461,935.57/12,079
  6. Step 6: Final answer
    x = 9,724.48

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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.