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Finding the Fourth Proportional to 26,947.67, 40,418.67 and 7,228.22

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Solution

The fourth proportional to 26,947.67, 40,418.67 and 7,228.22 is: 10,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,947.67 : 40,418.67 = 7,228.22 : x
  2. Step 2: Convert to fraction form
    26,947.67/40,418.67 = 7,228.22/x
  3. Step 3: Cross multiply
    26,947.67x = 40,418.67 × 7,228.22
  4. Step 4: Simplify right side
    26,947.67x = 292,155,038.87
  5. Step 5: Solve for x
    x = 292,155,038.87/26,947.67
  6. Step 6: Final answer
    x = 10,841.57

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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.