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Finding the Fourth Proportional to 9,151.50, 12,625.47 and 5,968.51

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Solution

The fourth proportional to 9,151.50, 12,625.47 and 5,968.51 is: 8,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.50 : 12,625.47 = 5,968.51 : x
  2. Step 2: Convert to fraction form
    9,151.50/12,625.47 = 5,968.51/x
  3. Step 3: Cross multiply
    9,151.50x = 12,625.47 × 5,968.51
  4. Step 4: Simplify right side
    9,151.50x = 75,355,243.95
  5. Step 5: Solve for x
    x = 75,355,243.95/9,151.50
  6. Step 6: Final answer
    x = 8,234.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.