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Finding the Fourth Proportional to 9,793.90, 13,542.15 and 9,635.63

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Solution

The fourth proportional to 9,793.90, 13,542.15 and 9,635.63 is: 13,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.90 : 13,542.15 = 9,635.63 : x
  2. Step 2: Convert to fraction form
    9,793.90/13,542.15 = 9,635.63/x
  3. Step 3: Cross multiply
    9,793.90x = 13,542.15 × 9,635.63
  4. Step 4: Simplify right side
    9,793.90x = 130,487,146.80
  5. Step 5: Solve for x
    x = 130,487,146.80/9,793.90
  6. Step 6: Final answer
    x = 13,323.31

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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.