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Finding the Fourth Proportional to 8,765.28, 13,124.16 and 5,834.16

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Solution

The fourth proportional to 8,765.28, 13,124.16 and 5,834.16 is: 8,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.28 : 13,124.16 = 5,834.16 : x
  2. Step 2: Convert to fraction form
    8,765.28/13,124.16 = 5,834.16/x
  3. Step 3: Cross multiply
    8,765.28x = 13,124.16 × 5,834.16
  4. Step 4: Simplify right side
    8,765.28x = 76,568,449.31
  5. Step 5: Solve for x
    x = 76,568,449.31/8,765.28
  6. Step 6: Final answer
    x = 8,735.43

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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.