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Finding the Fourth Proportional to 7,166.00, 9,889.12 and 4,022.19

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Solution

The fourth proportional to 7,166.00, 9,889.12 and 4,022.19 is: 5,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.00 : 9,889.12 = 4,022.19 : x
  2. Step 2: Convert to fraction form
    7,166.00/9,889.12 = 4,022.19/x
  3. Step 3: Cross multiply
    7,166.00x = 9,889.12 × 4,022.19
  4. Step 4: Simplify right side
    7,166.00x = 39,775,924.60
  5. Step 5: Solve for x
    x = 39,775,924.60/7,166.00
  6. Step 6: Final answer
    x = 5,550.64

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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.