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Finding the Fourth Proportional to 5,662.36, 8,493.64 and 1,964.72

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Solution

The fourth proportional to 5,662.36, 8,493.64 and 1,964.72 is: 2,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.36 : 8,493.64 = 1,964.72 : x
  2. Step 2: Convert to fraction form
    5,662.36/8,493.64 = 1,964.72/x
  3. Step 3: Cross multiply
    5,662.36x = 8,493.64 × 1,964.72
  4. Step 4: Simplify right side
    5,662.36x = 16,687,624.38
  5. Step 5: Solve for x
    x = 16,687,624.38/5,662.36
  6. Step 6: Final answer
    x = 2,947.11

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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.