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Finding the Fourth Proportional to 5,195.64, 7,794.83 and 1,498.17

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Solution

The fourth proportional to 5,195.64, 7,794.83 and 1,498.17 is: 2,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.64 : 7,794.83 = 1,498.17 : x
  2. Step 2: Convert to fraction form
    5,195.64/7,794.83 = 1,498.17/x
  3. Step 3: Cross multiply
    5,195.64x = 7,794.83 × 1,498.17
  4. Step 4: Simplify right side
    5,195.64x = 11,677,991.51
  5. Step 5: Solve for x
    x = 11,677,991.51/5,195.64
  6. Step 6: Final answer
    x = 2,247.65

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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.