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Finding the Fourth Proportional to 31,085.63, 46,614.74 and 8,893.96

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Solution

The fourth proportional to 31,085.63, 46,614.74 and 8,893.96 is: 13,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.63 : 46,614.74 = 8,893.96 : x
  2. Step 2: Convert to fraction form
    31,085.63/46,614.74 = 8,893.96/x
  3. Step 3: Cross multiply
    31,085.63x = 46,614.74 × 8,893.96
  4. Step 4: Simplify right side
    31,085.63x = 414,589,632.97
  5. Step 5: Solve for x
    x = 414,589,632.97/31,085.63
  6. Step 6: Final answer
    x = 13,337.02

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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.