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Finding the Fourth Proportional to 9,589.92, 14,366.56 and 5,631.44

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Solution

The fourth proportional to 9,589.92, 14,366.56 and 5,631.44 is: 8,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.92 : 14,366.56 = 5,631.44 : x
  2. Step 2: Convert to fraction form
    9,589.92/14,366.56 = 5,631.44/x
  3. Step 3: Cross multiply
    9,589.92x = 14,366.56 × 5,631.44
  4. Step 4: Simplify right side
    9,589.92x = 80,904,420.65
  5. Step 5: Solve for x
    x = 80,904,420.65/9,589.92
  6. Step 6: Final answer
    x = 8,436.40

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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.