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Finding the Fourth Proportional to 9,832.98, 13,663.77 and 9,731.84

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Solution

The fourth proportional to 9,832.98, 13,663.77 and 9,731.84 is: 13,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.98 : 13,663.77 = 9,731.84 : x
  2. Step 2: Convert to fraction form
    9,832.98/13,663.77 = 9,731.84/x
  3. Step 3: Cross multiply
    9,832.98x = 13,663.77 × 9,731.84
  4. Step 4: Simplify right side
    9,832.98x = 132,973,555.12
  5. Step 5: Solve for x
    x = 132,973,555.12/9,832.98
  6. Step 6: Final answer
    x = 13,523.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.