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Finding the Fourth Proportional to 6,671.06, 9,206.06 and 3,686.82

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Solution

The fourth proportional to 6,671.06, 9,206.06 and 3,686.82 is: 5,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.06 : 9,206.06 = 3,686.82 : x
  2. Step 2: Convert to fraction form
    6,671.06/9,206.06 = 3,686.82/x
  3. Step 3: Cross multiply
    6,671.06x = 9,206.06 × 3,686.82
  4. Step 4: Simplify right side
    6,671.06x = 33,941,033.17
  5. Step 5: Solve for x
    x = 33,941,033.17/6,671.06
  6. Step 6: Final answer
    x = 5,087.80

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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.