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Finding the Fourth Proportional to 7,166.34, 9,889.92 and 4,023.54

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Solution

The fourth proportional to 7,166.34, 9,889.92 and 4,023.54 is: 5,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.34 : 9,889.92 = 4,023.54 : x
  2. Step 2: Convert to fraction form
    7,166.34/9,889.92 = 4,023.54/x
  3. Step 3: Cross multiply
    7,166.34x = 9,889.92 × 4,023.54
  4. Step 4: Simplify right side
    7,166.34x = 39,792,488.72
  5. Step 5: Solve for x
    x = 39,792,488.72/7,166.34
  6. Step 6: Final answer
    x = 5,552.69

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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.