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Finding the Fourth Proportional to 7,166.90, 9,890.16 and 4,022.75

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Solution

The fourth proportional to 7,166.90, 9,890.16 and 4,022.75 is: 5,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.90 : 9,890.16 = 4,022.75 : x
  2. Step 2: Convert to fraction form
    7,166.90/9,890.16 = 4,022.75/x
  3. Step 3: Cross multiply
    7,166.90x = 9,890.16 × 4,022.75
  4. Step 4: Simplify right side
    7,166.90x = 39,785,641.14
  5. Step 5: Solve for x
    x = 39,785,641.14/7,166.90
  6. Step 6: Final answer
    x = 5,551.30

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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.