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Finding the Fourth Proportional to 4,091, 6,136.56 and 1,013

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Solution

The fourth proportional to 4,091, 6,136.56 and 1,013 is: 1,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091 : 6,136.56 = 1,013 : x
  2. Step 2: Convert to fraction form
    4,091/6,136.56 = 1,013/x
  3. Step 3: Cross multiply
    4,091x = 6,136.56 × 1,013
  4. Step 4: Simplify right side
    4,091x = 6,216,335.28
  5. Step 5: Solve for x
    x = 6,216,335.28/4,091
  6. Step 6: Final answer
    x = 1,519.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.