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Finding the Fourth Proportional to 6,384.09, 9,552.09 and 5,736.63

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Solution

The fourth proportional to 6,384.09, 9,552.09 and 5,736.63 is: 8,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.09 : 9,552.09 = 5,736.63 : x
  2. Step 2: Convert to fraction form
    6,384.09/9,552.09 = 5,736.63/x
  3. Step 3: Cross multiply
    6,384.09x = 9,552.09 × 5,736.63
  4. Step 4: Simplify right side
    6,384.09x = 54,796,806.06
  5. Step 5: Solve for x
    x = 54,796,806.06/6,384.09
  6. Step 6: Final answer
    x = 8,583.34

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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.