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Finding the Fourth Proportional to 8,230.86, 12,344.67 and 3,035.52

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Solution

The fourth proportional to 8,230.86, 12,344.67 and 3,035.52 is: 4,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.86 : 12,344.67 = 3,035.52 : x
  2. Step 2: Convert to fraction form
    8,230.86/12,344.67 = 3,035.52/x
  3. Step 3: Cross multiply
    8,230.86x = 12,344.67 × 3,035.52
  4. Step 4: Simplify right side
    8,230.86x = 37,472,492.68
  5. Step 5: Solve for x
    x = 37,472,492.68/8,230.86
  6. Step 6: Final answer
    x = 4,552.68

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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.