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Finding the Fourth Proportional to 8,535.92, 12,806.40 and 5,162.48

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Solution

The fourth proportional to 8,535.92, 12,806.40 and 5,162.48 is: 7,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.92 : 12,806.40 = 5,162.48 : x
  2. Step 2: Convert to fraction form
    8,535.92/12,806.40 = 5,162.48/x
  3. Step 3: Cross multiply
    8,535.92x = 12,806.40 × 5,162.48
  4. Step 4: Simplify right side
    8,535.92x = 66,112,783.87
  5. Step 5: Solve for x
    x = 66,112,783.87/8,535.92
  6. Step 6: Final answer
    x = 7,745.24

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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.