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Finding the Fourth Proportional to 8,234.70, 12,352.47 and 4,723.77

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Solution

The fourth proportional to 8,234.70, 12,352.47 and 4,723.77 is: 7,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.70 : 12,352.47 = 4,723.77 : x
  2. Step 2: Convert to fraction form
    8,234.70/12,352.47 = 4,723.77/x
  3. Step 3: Cross multiply
    8,234.70x = 12,352.47 × 4,723.77
  4. Step 4: Simplify right side
    8,234.70x = 58,350,227.21
  5. Step 5: Solve for x
    x = 58,350,227.21/8,234.70
  6. Step 6: Final answer
    x = 7,085.90

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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.