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Finding the Fourth Proportional to 12,954.87, 17,876.97 and 7,647.75

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Solution

The fourth proportional to 12,954.87, 17,876.97 and 7,647.75 is: 10,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.87 : 17,876.97 = 7,647.75 : x
  2. Step 2: Convert to fraction form
    12,954.87/17,876.97 = 7,647.75/x
  3. Step 3: Cross multiply
    12,954.87x = 17,876.97 × 7,647.75
  4. Step 4: Simplify right side
    12,954.87x = 136,718,597.32
  5. Step 5: Solve for x
    x = 136,718,597.32/12,954.87
  6. Step 6: Final answer
    x = 10,553.45

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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.