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Finding the Fourth Proportional to 9,793.26, 13,514.70 and 5,601.60

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Solution

The fourth proportional to 9,793.26, 13,514.70 and 5,601.60 is: 7,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.26 : 13,514.70 = 5,601.60 : x
  2. Step 2: Convert to fraction form
    9,793.26/13,514.70 = 5,601.60/x
  3. Step 3: Cross multiply
    9,793.26x = 13,514.70 × 5,601.60
  4. Step 4: Simplify right side
    9,793.26x = 75,703,943.52
  5. Step 5: Solve for x
    x = 75,703,943.52/9,793.26
  6. Step 6: Final answer
    x = 7,730.21

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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.