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Finding the Fourth Proportional to 9,781.52, 13,498.26 and 5,589.52

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Solution

The fourth proportional to 9,781.52, 13,498.26 and 5,589.52 is: 7,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.52 : 13,498.26 = 5,589.52 : x
  2. Step 2: Convert to fraction form
    9,781.52/13,498.26 = 5,589.52/x
  3. Step 3: Cross multiply
    9,781.52x = 13,498.26 × 5,589.52
  4. Step 4: Simplify right side
    9,781.52x = 75,448,794.24
  5. Step 5: Solve for x
    x = 75,448,794.24/9,781.52
  6. Step 6: Final answer
    x = 7,713.40

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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.