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Finding the Fourth Proportional to 5,966.64, 8,236.62 and 5,221.44

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Solution

The fourth proportional to 5,966.64, 8,236.62 and 5,221.44 is: 7,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.64 : 8,236.62 = 5,221.44 : x
  2. Step 2: Convert to fraction form
    5,966.64/8,236.62 = 5,221.44/x
  3. Step 3: Cross multiply
    5,966.64x = 8,236.62 × 5,221.44
  4. Step 4: Simplify right side
    5,966.64x = 43,007,017.13
  5. Step 5: Solve for x
    x = 43,007,017.13/5,966.64
  6. Step 6: Final answer
    x = 7,207.91

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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.