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Finding the Fourth Proportional to 12,916.97, 17,826.08 and 7,251.42

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Solution

The fourth proportional to 12,916.97, 17,826.08 and 7,251.42 is: 10,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.97 : 17,826.08 = 7,251.42 : x
  2. Step 2: Convert to fraction form
    12,916.97/17,826.08 = 7,251.42/x
  3. Step 3: Cross multiply
    12,916.97x = 17,826.08 × 7,251.42
  4. Step 4: Simplify right side
    12,916.97x = 129,264,423.62
  5. Step 5: Solve for x
    x = 129,264,423.62/12,916.97
  6. Step 6: Final answer
    x = 10,007.33

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1.5x scale

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.