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Finding the Fourth Proportional to 8,384.13, 12,578.22 and 5,923.74

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Solution

The fourth proportional to 8,384.13, 12,578.22 and 5,923.74 is: 8,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.13 : 12,578.22 = 5,923.74 : x
  2. Step 2: Convert to fraction form
    8,384.13/12,578.22 = 5,923.74/x
  3. Step 3: Cross multiply
    8,384.13x = 12,578.22 × 5,923.74
  4. Step 4: Simplify right side
    8,384.13x = 74,510,104.94
  5. Step 5: Solve for x
    x = 74,510,104.94/8,384.13
  6. Step 6: Final answer
    x = 8,887.04

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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.