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Finding the Fourth Proportional to 6,166.94, 9,258.38 and 5,295.11

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Solution

The fourth proportional to 6,166.94, 9,258.38 and 5,295.11 is: 7,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.94 : 9,258.38 = 5,295.11 : x
  2. Step 2: Convert to fraction form
    6,166.94/9,258.38 = 5,295.11/x
  3. Step 3: Cross multiply
    6,166.94x = 9,258.38 × 5,295.11
  4. Step 4: Simplify right side
    6,166.94x = 49,024,067.75
  5. Step 5: Solve for x
    x = 49,024,067.75/6,166.94
  6. Step 6: Final answer
    x = 7,949.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.