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Finding the Fourth Proportional to 27,371, 41,056.50 and 6,594.50

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Solution

The fourth proportional to 27,371, 41,056.50 and 6,594.50 is: 9,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371 : 41,056.50 = 6,594.50 : x
  2. Step 2: Convert to fraction form
    27,371/41,056.50 = 6,594.50/x
  3. Step 3: Cross multiply
    27,371x = 41,056.50 × 6,594.50
  4. Step 4: Simplify right side
    27,371x = 270,747,089.25
  5. Step 5: Solve for x
    x = 270,747,089.25/27,371
  6. Step 6: Final answer
    x = 9,891.75

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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.