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Finding the Fourth Proportional to 28,234.42, 42,344.78 and 9,509.62

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Solution

The fourth proportional to 28,234.42, 42,344.78 and 9,509.62 is: 14,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.42 : 42,344.78 = 9,509.62 : x
  2. Step 2: Convert to fraction form
    28,234.42/42,344.78 = 9,509.62/x
  3. Step 3: Cross multiply
    28,234.42x = 42,344.78 × 9,509.62
  4. Step 4: Simplify right side
    28,234.42x = 402,682,766.78
  5. Step 5: Solve for x
    x = 402,682,766.78/28,234.42
  6. Step 6: Final answer
    x = 14,262.12

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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.