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Finding the Fourth Proportional to 6,997.88, 9,656.91 and 4,013.53

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Solution

The fourth proportional to 6,997.88, 9,656.91 and 4,013.53 is: 5,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.88 : 9,656.91 = 4,013.53 : x
  2. Step 2: Convert to fraction form
    6,997.88/9,656.91 = 4,013.53/x
  3. Step 3: Cross multiply
    6,997.88x = 9,656.91 × 4,013.53
  4. Step 4: Simplify right side
    6,997.88x = 38,758,297.99
  5. Step 5: Solve for x
    x = 38,758,297.99/6,997.88
  6. Step 6: Final answer
    x = 5,538.58

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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.