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Finding the Fourth Proportional to 6,136.74, 9,169.29 and 5,386.68

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Solution

The fourth proportional to 6,136.74, 9,169.29 and 5,386.68 is: 8,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.74 : 9,169.29 = 5,386.68 : x
  2. Step 2: Convert to fraction form
    6,136.74/9,169.29 = 5,386.68/x
  3. Step 3: Cross multiply
    6,136.74x = 9,169.29 × 5,386.68
  4. Step 4: Simplify right side
    6,136.74x = 49,392,031.06
  5. Step 5: Solve for x
    x = 49,392,031.06/6,136.74
  6. Step 6: Final answer
    x = 8,048.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.