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Finding the Fourth Proportional to 5,966.60, 8,237.64 and 3,843.08

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Solution

The fourth proportional to 5,966.60, 8,237.64 and 3,843.08 is: 5,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.60 : 8,237.64 = 3,843.08 : x
  2. Step 2: Convert to fraction form
    5,966.60/8,237.64 = 3,843.08/x
  3. Step 3: Cross multiply
    5,966.60x = 8,237.64 × 3,843.08
  4. Step 4: Simplify right side
    5,966.60x = 31,657,909.53
  5. Step 5: Solve for x
    x = 31,657,909.53/5,966.60
  6. Step 6: Final answer
    x = 5,305.85

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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.