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Finding the Fourth Proportional to 6,138.66, 9,217.23 and 3,684.47

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Solution

The fourth proportional to 6,138.66, 9,217.23 and 3,684.47 is: 5,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.66 : 9,217.23 = 3,684.47 : x
  2. Step 2: Convert to fraction form
    6,138.66/9,217.23 = 3,684.47/x
  3. Step 3: Cross multiply
    6,138.66x = 9,217.23 × 3,684.47
  4. Step 4: Simplify right side
    6,138.66x = 33,960,547.52
  5. Step 5: Solve for x
    x = 33,960,547.52/6,138.66
  6. Step 6: Final answer
    x = 5,532.24

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1.5x scale

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.