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Finding the Fourth Proportional to 37,487.75, 56,234.87 and 9,785.75

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Solution

The fourth proportional to 37,487.75, 56,234.87 and 9,785.75 is: 14,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,487.75 : 56,234.87 = 9,785.75 : x
  2. Step 2: Convert to fraction form
    37,487.75/56,234.87 = 9,785.75/x
  3. Step 3: Cross multiply
    37,487.75x = 56,234.87 × 9,785.75
  4. Step 4: Simplify right side
    37,487.75x = 550,300,379.10
  5. Step 5: Solve for x
    x = 550,300,379.10/37,487.75
  6. Step 6: Final answer
    x = 14,679.47

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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.