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Finding the Fourth Proportional to 5,507.74, 8,258.86 and 1,997.60

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Solution

The fourth proportional to 5,507.74, 8,258.86 and 1,997.60 is: 2,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.74 : 8,258.86 = 1,997.60 : x
  2. Step 2: Convert to fraction form
    5,507.74/8,258.86 = 1,997.60/x
  3. Step 3: Cross multiply
    5,507.74x = 8,258.86 × 1,997.60
  4. Step 4: Simplify right side
    5,507.74x = 16,497,898.74
  5. Step 5: Solve for x
    x = 16,497,898.74/5,507.74
  6. Step 6: Final answer
    x = 2,995.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.