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Finding the Fourth Proportional to 7,166.75, 9,890.10 and 4,022.93

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Solution

The fourth proportional to 7,166.75, 9,890.10 and 4,022.93 is: 5,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.75 : 9,890.10 = 4,022.93 : x
  2. Step 2: Convert to fraction form
    7,166.75/9,890.10 = 4,022.93/x
  3. Step 3: Cross multiply
    7,166.75x = 9,890.10 × 4,022.93
  4. Step 4: Simplify right side
    7,166.75x = 39,787,204.72
  5. Step 5: Solve for x
    x = 39,787,204.72/7,166.75
  6. Step 6: Final answer
    x = 5,551.64

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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.