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Finding the Fourth Proportional to 6,555.23, 9,824.63 and 5,163.07

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Solution

The fourth proportional to 6,555.23, 9,824.63 and 5,163.07 is: 7,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.23 : 9,824.63 = 5,163.07 : x
  2. Step 2: Convert to fraction form
    6,555.23/9,824.63 = 5,163.07/x
  3. Step 3: Cross multiply
    6,555.23x = 9,824.63 × 5,163.07
  4. Step 4: Simplify right side
    6,555.23x = 50,725,203.29
  5. Step 5: Solve for x
    x = 50,725,203.29/6,555.23
  6. Step 6: Final answer
    x = 7,738.13

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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.