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Finding the Fourth Proportional to 10,959.78, 16,352.94 and 10,707.66

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Solution

The fourth proportional to 10,959.78, 16,352.94 and 10,707.66 is: 15,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.78 : 16,352.94 = 10,707.66 : x
  2. Step 2: Convert to fraction form
    10,959.78/16,352.94 = 10,707.66/x
  3. Step 3: Cross multiply
    10,959.78x = 16,352.94 × 10,707.66
  4. Step 4: Simplify right side
    10,959.78x = 175,101,721.52
  5. Step 5: Solve for x
    x = 175,101,721.52/10,959.78
  6. Step 6: Final answer
    x = 15,976.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.