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Finding the Fourth Proportional to 6,671.57, 9,206.60 and 3,687.30

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Solution

The fourth proportional to 6,671.57, 9,206.60 and 3,687.30 is: 5,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.57 : 9,206.60 = 3,687.30 : x
  2. Step 2: Convert to fraction form
    6,671.57/9,206.60 = 3,687.30/x
  3. Step 3: Cross multiply
    6,671.57x = 9,206.60 × 3,687.30
  4. Step 4: Simplify right side
    6,671.57x = 33,947,477.74
  5. Step 5: Solve for x
    x = 33,947,477.74/6,671.57
  6. Step 6: Final answer
    x = 5,088.38

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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.