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Finding the Fourth Proportional to 8,589.40, 12,884.10 and 4,215.40

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Solution

The fourth proportional to 8,589.40, 12,884.10 and 4,215.40 is: 6,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.40 : 12,884.10 = 4,215.40 : x
  2. Step 2: Convert to fraction form
    8,589.40/12,884.10 = 4,215.40/x
  3. Step 3: Cross multiply
    8,589.40x = 12,884.10 × 4,215.40
  4. Step 4: Simplify right side
    8,589.40x = 54,311,635.14
  5. Step 5: Solve for x
    x = 54,311,635.14/8,589.40
  6. Step 6: Final answer
    x = 6,323.10

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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.