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Finding the Fourth Proportional to 8,384.70, 11,578.23 and 5,246.22

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Solution

The fourth proportional to 8,384.70, 11,578.23 and 5,246.22 is: 7,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.70 : 11,578.23 = 5,246.22 : x
  2. Step 2: Convert to fraction form
    8,384.70/11,578.23 = 5,246.22/x
  3. Step 3: Cross multiply
    8,384.70x = 11,578.23 × 5,246.22
  4. Step 4: Simplify right side
    8,384.70x = 60,741,941.79
  5. Step 5: Solve for x
    x = 60,741,941.79/8,384.70
  6. Step 6: Final answer
    x = 7,244.38

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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.