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Finding the Fourth Proportional to 7,166.63, 9,889.95 and 4,022.82

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Solution

The fourth proportional to 7,166.63, 9,889.95 and 4,022.82 is: 5,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.63 : 9,889.95 = 4,022.82 : x
  2. Step 2: Convert to fraction form
    7,166.63/9,889.95 = 4,022.82/x
  3. Step 3: Cross multiply
    7,166.63x = 9,889.95 × 4,022.82
  4. Step 4: Simplify right side
    7,166.63x = 39,785,488.66
  5. Step 5: Solve for x
    x = 39,785,488.66/7,166.63
  6. Step 6: Final answer
    x = 5,551.50

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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.