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Finding the Fourth Proportional to 6,553.71, 9,834.21 and 5,336.28

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Solution

The fourth proportional to 6,553.71, 9,834.21 and 5,336.28 is: 8,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.71 : 9,834.21 = 5,336.28 : x
  2. Step 2: Convert to fraction form
    6,553.71/9,834.21 = 5,336.28/x
  3. Step 3: Cross multiply
    6,553.71x = 9,834.21 × 5,336.28
  4. Step 4: Simplify right side
    6,553.71x = 52,478,098.14
  5. Step 5: Solve for x
    x = 52,478,098.14/6,553.71
  6. Step 6: Final answer
    x = 8,007.39

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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.