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Finding the Fourth Proportional to 7,166.29, 9,890.76 and 4,023.49

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Solution

The fourth proportional to 7,166.29, 9,890.76 and 4,023.49 is: 5,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.29 : 9,890.76 = 4,023.49 : x
  2. Step 2: Convert to fraction form
    7,166.29/9,890.76 = 4,023.49/x
  3. Step 3: Cross multiply
    7,166.29x = 9,890.76 × 4,023.49
  4. Step 4: Simplify right side
    7,166.29x = 39,795,373.95
  5. Step 5: Solve for x
    x = 39,795,373.95/7,166.29
  6. Step 6: Final answer
    x = 5,553.13

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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.