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Finding the Fourth Proportional to 12,722.61, 17,557.48 and 7,057.17

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Solution

The fourth proportional to 12,722.61, 17,557.48 and 7,057.17 is: 9,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.61 : 17,557.48 = 7,057.17 : x
  2. Step 2: Convert to fraction form
    12,722.61/17,557.48 = 7,057.17/x
  3. Step 3: Cross multiply
    12,722.61x = 17,557.48 × 7,057.17
  4. Step 4: Simplify right side
    12,722.61x = 123,906,121.13
  5. Step 5: Solve for x
    x = 123,906,121.13/12,722.61
  6. Step 6: Final answer
    x = 9,739.05

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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.