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Finding the Fourth Proportional to 12,832.43, 17,700.13 and 9,653.99

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Solution

The fourth proportional to 12,832.43, 17,700.13 and 9,653.99 is: 13,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.43 : 17,700.13 = 9,653.99 : x
  2. Step 2: Convert to fraction form
    12,832.43/17,700.13 = 9,653.99/x
  3. Step 3: Cross multiply
    12,832.43x = 17,700.13 × 9,653.99
  4. Step 4: Simplify right side
    12,832.43x = 170,876,878.02
  5. Step 5: Solve for x
    x = 170,876,878.02/12,832.43
  6. Step 6: Final answer
    x = 13,316.02

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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.