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Finding the Fourth Proportional to 12,959.54, 17,884.19 and 7,294.61

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Solution

The fourth proportional to 12,959.54, 17,884.19 and 7,294.61 is: 10,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.54 : 17,884.19 = 7,294.61 : x
  2. Step 2: Convert to fraction form
    12,959.54/17,884.19 = 7,294.61/x
  3. Step 3: Cross multiply
    12,959.54x = 17,884.19 × 7,294.61
  4. Step 4: Simplify right side
    12,959.54x = 130,458,153.56
  5. Step 5: Solve for x
    x = 130,458,153.56/12,959.54
  6. Step 6: Final answer
    x = 10,066.57

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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.