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Finding the Fourth Proportional to 6,165.94, 8,509.83 and 3,477.71

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Solution

The fourth proportional to 6,165.94, 8,509.83 and 3,477.71 is: 4,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.94 : 8,509.83 = 3,477.71 : x
  2. Step 2: Convert to fraction form
    6,165.94/8,509.83 = 3,477.71/x
  3. Step 3: Cross multiply
    6,165.94x = 8,509.83 × 3,477.71
  4. Step 4: Simplify right side
    6,165.94x = 29,594,755.76
  5. Step 5: Solve for x
    x = 29,594,755.76/6,165.94
  6. Step 6: Final answer
    x = 4,799.71

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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.