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Finding the Fourth Proportional to 31,107.86, 46,661.77 and 7,734.29

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Solution

The fourth proportional to 31,107.86, 46,661.77 and 7,734.29 is: 11,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.86 : 46,661.77 = 7,734.29 : x
  2. Step 2: Convert to fraction form
    31,107.86/46,661.77 = 7,734.29/x
  3. Step 3: Cross multiply
    31,107.86x = 46,661.77 × 7,734.29
  4. Step 4: Simplify right side
    31,107.86x = 360,895,831.16
  5. Step 5: Solve for x
    x = 360,895,831.16/31,107.86
  6. Step 6: Final answer
    x = 11,601.44

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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.