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Finding the Fourth Proportional to 12,832.93, 17,700.82 and 9,654.49

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Solution

The fourth proportional to 12,832.93, 17,700.82 and 9,654.49 is: 13,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.93 : 17,700.82 = 9,654.49 : x
  2. Step 2: Convert to fraction form
    12,832.93/17,700.82 = 9,654.49/x
  3. Step 3: Cross multiply
    12,832.93x = 17,700.82 × 9,654.49
  4. Step 4: Simplify right side
    12,832.93x = 170,892,389.68
  5. Step 5: Solve for x
    x = 170,892,389.68/12,832.93
  6. Step 6: Final answer
    x = 13,316.71

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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.