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Finding the Fourth Proportional to 7,165.97, 9,889.04 and 4,022.16

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Solution

The fourth proportional to 7,165.97, 9,889.04 and 4,022.16 is: 5,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.97 : 9,889.04 = 4,022.16 : x
  2. Step 2: Convert to fraction form
    7,165.97/9,889.04 = 4,022.16/x
  3. Step 3: Cross multiply
    7,165.97x = 9,889.04 × 4,022.16
  4. Step 4: Simplify right side
    7,165.97x = 39,775,259.01
  5. Step 5: Solve for x
    x = 39,775,259.01/7,165.97
  6. Step 6: Final answer
    x = 5,550.58

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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.