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Finding the Fourth Proportional to 7,166.94, 9,890.34 and 4,023.14

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Solution

The fourth proportional to 7,166.94, 9,890.34 and 4,023.14 is: 5,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.94 : 9,890.34 = 4,023.14 : x
  2. Step 2: Convert to fraction form
    7,166.94/9,890.34 = 4,023.14/x
  3. Step 3: Cross multiply
    7,166.94x = 9,890.34 × 4,023.14
  4. Step 4: Simplify right side
    7,166.94x = 39,790,173.02
  5. Step 5: Solve for x
    x = 39,790,173.02/7,166.94
  6. Step 6: Final answer
    x = 5,551.91

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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.