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Finding the Fourth Proportional to 9,589.56, 13,234.08 and 5,398.08

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Solution

The fourth proportional to 9,589.56, 13,234.08 and 5,398.08 is: 7,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.56 : 13,234.08 = 5,398.08 : x
  2. Step 2: Convert to fraction form
    9,589.56/13,234.08 = 5,398.08/x
  3. Step 3: Cross multiply
    9,589.56x = 13,234.08 × 5,398.08
  4. Step 4: Simplify right side
    9,589.56x = 71,438,622.57
  5. Step 5: Solve for x
    x = 71,438,622.57/9,589.56
  6. Step 6: Final answer
    x = 7,449.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.