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Finding the Fourth Proportional to 6,014.71, 8,992.50 and 5,100.49

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Solution

The fourth proportional to 6,014.71, 8,992.50 and 5,100.49 is: 7,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.71 : 8,992.50 = 5,100.49 : x
  2. Step 2: Convert to fraction form
    6,014.71/8,992.50 = 5,100.49/x
  3. Step 3: Cross multiply
    6,014.71x = 8,992.50 × 5,100.49
  4. Step 4: Simplify right side
    6,014.71x = 45,866,156.33
  5. Step 5: Solve for x
    x = 45,866,156.33/6,014.71
  6. Step 6: Final answer
    x = 7,625.66

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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.