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Finding the Fourth Proportional to 8,432.64, 12,647.88 and 2,589.12

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Solution

The fourth proportional to 8,432.64, 12,647.88 and 2,589.12 is: 3,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.64 : 12,647.88 = 2,589.12 : x
  2. Step 2: Convert to fraction form
    8,432.64/12,647.88 = 2,589.12/x
  3. Step 3: Cross multiply
    8,432.64x = 12,647.88 × 2,589.12
  4. Step 4: Simplify right side
    8,432.64x = 32,746,879.07
  5. Step 5: Solve for x
    x = 32,746,879.07/8,432.64
  6. Step 6: Final answer
    x = 3,883.35

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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.