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Finding the Fourth Proportional to 6,165.80, 9,201.26 and 5,509.68

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Solution

The fourth proportional to 6,165.80, 9,201.26 and 5,509.68 is: 8,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.80 : 9,201.26 = 5,509.68 : x
  2. Step 2: Convert to fraction form
    6,165.80/9,201.26 = 5,509.68/x
  3. Step 3: Cross multiply
    6,165.80x = 9,201.26 × 5,509.68
  4. Step 4: Simplify right side
    6,165.80x = 50,695,998.20
  5. Step 5: Solve for x
    x = 50,695,998.20/6,165.80
  6. Step 6: Final answer
    x = 8,222.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.