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Finding the Fourth Proportional to 8,535.12, 12,797.21 and 5,895.23

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Solution

The fourth proportional to 8,535.12, 12,797.21 and 5,895.23 is: 8,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.12 : 12,797.21 = 5,895.23 : x
  2. Step 2: Convert to fraction form
    8,535.12/12,797.21 = 5,895.23/x
  3. Step 3: Cross multiply
    8,535.12x = 12,797.21 × 5,895.23
  4. Step 4: Simplify right side
    8,535.12x = 75,442,402.85
  5. Step 5: Solve for x
    x = 75,442,402.85/8,535.12
  6. Step 6: Final answer
    x = 8,839.06

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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.