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Finding the Fourth Proportional to 5,224.44, 7,837.02 and 1,764.12

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Solution

The fourth proportional to 5,224.44, 7,837.02 and 1,764.12 is: 2,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.44 : 7,837.02 = 1,764.12 : x
  2. Step 2: Convert to fraction form
    5,224.44/7,837.02 = 1,764.12/x
  3. Step 3: Cross multiply
    5,224.44x = 7,837.02 × 1,764.12
  4. Step 4: Simplify right side
    5,224.44x = 13,825,443.72
  5. Step 5: Solve for x
    x = 13,825,443.72/5,224.44
  6. Step 6: Final answer
    x = 2,646.30

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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.