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Finding the Fourth Proportional to 12,822.62, 17,703.22 and 9,832.70

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Solution

The fourth proportional to 12,822.62, 17,703.22 and 9,832.70 is: 13,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.62 : 17,703.22 = 9,832.70 : x
  2. Step 2: Convert to fraction form
    12,822.62/17,703.22 = 9,832.70/x
  3. Step 3: Cross multiply
    12,822.62x = 17,703.22 × 9,832.70
  4. Step 4: Simplify right side
    12,822.62x = 174,070,451.29
  5. Step 5: Solve for x
    x = 174,070,451.29/12,822.62
  6. Step 6: Final answer
    x = 13,575.26

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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.