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Finding the Fourth Proportional to 9,589.16, 13,233 and 5,397.40

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Solution

The fourth proportional to 9,589.16, 13,233 and 5,397.40 is: 7,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.16 : 13,233 = 5,397.40 : x
  2. Step 2: Convert to fraction form
    9,589.16/13,233 = 5,397.40/x
  3. Step 3: Cross multiply
    9,589.16x = 13,233 × 5,397.40
  4. Step 4: Simplify right side
    9,589.16x = 71,423,794.20
  5. Step 5: Solve for x
    x = 71,423,794.20/9,589.16
  6. Step 6: Final answer
    x = 7,448.39

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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.