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Finding the Fourth Proportional to 8,894.91, 12,284.66 and 5,923.33

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Solution

The fourth proportional to 8,894.91, 12,284.66 and 5,923.33 is: 8,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.91 : 12,284.66 = 5,923.33 : x
  2. Step 2: Convert to fraction form
    8,894.91/12,284.66 = 5,923.33/x
  3. Step 3: Cross multiply
    8,894.91x = 12,284.66 × 5,923.33
  4. Step 4: Simplify right side
    8,894.91x = 72,766,079.21
  5. Step 5: Solve for x
    x = 72,766,079.21/8,894.91
  6. Step 6: Final answer
    x = 8,180.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.