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Finding the Fourth Proportional to 7,165.82, 9,889.00 and 4,022.30

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Solution

The fourth proportional to 7,165.82, 9,889.00 and 4,022.30 is: 5,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.82 : 9,889.00 = 4,022.30 : x
  2. Step 2: Convert to fraction form
    7,165.82/9,889.00 = 4,022.30/x
  3. Step 3: Cross multiply
    7,165.82x = 9,889.00 × 4,022.30
  4. Step 4: Simplify right side
    7,165.82x = 39,776,465.20
  5. Step 5: Solve for x
    x = 39,776,465.20/7,165.82
  6. Step 6: Final answer
    x = 5,550.86

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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.