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Finding the Fourth Proportional to 6,997.41, 9,656.83 and 4,013.22

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Solution

The fourth proportional to 6,997.41, 9,656.83 and 4,013.22 is: 5,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.41 : 9,656.83 = 4,013.22 : x
  2. Step 2: Convert to fraction form
    6,997.41/9,656.83 = 4,013.22/x
  3. Step 3: Cross multiply
    6,997.41x = 9,656.83 × 4,013.22
  4. Step 4: Simplify right side
    6,997.41x = 38,754,983.29
  5. Step 5: Solve for x
    x = 38,754,983.29/6,997.41
  6. Step 6: Final answer
    x = 5,538.48

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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.