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Finding the Fourth Proportional to 7,959.47, 11,906.26 and 7,237.76

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Solution

The fourth proportional to 7,959.47, 11,906.26 and 7,237.76 is: 10,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.47 : 11,906.26 = 7,237.76 : x
  2. Step 2: Convert to fraction form
    7,959.47/11,906.26 = 7,237.76/x
  3. Step 3: Cross multiply
    7,959.47x = 11,906.26 × 7,237.76
  4. Step 4: Simplify right side
    7,959.47x = 86,174,574.75
  5. Step 5: Solve for x
    x = 86,174,574.75/7,959.47
  6. Step 6: Final answer
    x = 10,826.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.