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Finding the Fourth Proportional to 31,861.16, 47,788.64 and 9,674.73

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Solution

The fourth proportional to 31,861.16, 47,788.64 and 9,674.73 is: 14,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.16 : 47,788.64 = 9,674.73 : x
  2. Step 2: Convert to fraction form
    31,861.16/47,788.64 = 9,674.73/x
  3. Step 3: Cross multiply
    31,861.16x = 47,788.64 × 9,674.73
  4. Step 4: Simplify right side
    31,861.16x = 462,342,140.69
  5. Step 5: Solve for x
    x = 462,342,140.69/31,861.16
  6. Step 6: Final answer
    x = 14,511.15

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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.