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Finding the Fourth Proportional to 11,202.64, 16,807.74 and 4,964.20

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Solution

The fourth proportional to 11,202.64, 16,807.74 and 4,964.20 is: 7,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.64 : 16,807.74 = 4,964.20 : x
  2. Step 2: Convert to fraction form
    11,202.64/16,807.74 = 4,964.20/x
  3. Step 3: Cross multiply
    11,202.64x = 16,807.74 × 4,964.20
  4. Step 4: Simplify right side
    11,202.64x = 83,436,982.91
  5. Step 5: Solve for x
    x = 83,436,982.91/11,202.64
  6. Step 6: Final answer
    x = 7,447.98

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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.