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Finding the Fourth Proportional to 6,166.87, 8,506.83 and 3,807.34

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Solution

The fourth proportional to 6,166.87, 8,506.83 and 3,807.34 is: 5,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.87 : 8,506.83 = 3,807.34 : x
  2. Step 2: Convert to fraction form
    6,166.87/8,506.83 = 3,807.34/x
  3. Step 3: Cross multiply
    6,166.87x = 8,506.83 × 3,807.34
  4. Step 4: Simplify right side
    6,166.87x = 32,388,394.13
  5. Step 5: Solve for x
    x = 32,388,394.13/6,166.87
  6. Step 6: Final answer
    x = 5,252.00

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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.