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Finding the Fourth Proportional to 31,295.22, 46,942.92 and 9,109.13

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Solution

The fourth proportional to 31,295.22, 46,942.92 and 9,109.13 is: 13,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.22 : 46,942.92 = 9,109.13 : x
  2. Step 2: Convert to fraction form
    31,295.22/46,942.92 = 9,109.13/x
  3. Step 3: Cross multiply
    31,295.22x = 46,942.92 × 9,109.13
  4. Step 4: Simplify right side
    31,295.22x = 427,608,926.15
  5. Step 5: Solve for x
    x = 427,608,926.15/31,295.22
  6. Step 6: Final answer
    x = 13,663.71

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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.