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Finding the Fourth Proportional to 6,166.66, 8,509.38 and 3,513.97

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Solution

The fourth proportional to 6,166.66, 8,509.38 and 3,513.97 is: 4,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.66 : 8,509.38 = 3,513.97 : x
  2. Step 2: Convert to fraction form
    6,166.66/8,509.38 = 3,513.97/x
  3. Step 3: Cross multiply
    6,166.66x = 8,509.38 × 3,513.97
  4. Step 4: Simplify right side
    6,166.66x = 29,901,706.04
  5. Step 5: Solve for x
    x = 29,901,706.04/6,166.66
  6. Step 6: Final answer
    x = 4,848.93

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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.