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Finding the Fourth Proportional to 6,166.54, 8,509.28 and 3,477.95

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Solution

The fourth proportional to 6,166.54, 8,509.28 and 3,477.95 is: 4,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.54 : 8,509.28 = 3,477.95 : x
  2. Step 2: Convert to fraction form
    6,166.54/8,509.28 = 3,477.95/x
  3. Step 3: Cross multiply
    6,166.54x = 8,509.28 × 3,477.95
  4. Step 4: Simplify right side
    6,166.54x = 29,594,850.38
  5. Step 5: Solve for x
    x = 29,594,850.38/6,166.54
  6. Step 6: Final answer
    x = 4,799.26

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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.