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Finding the Fourth Proportional to 5,634.78, 7,774.10 and 3,274.98

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Solution

The fourth proportional to 5,634.78, 7,774.10 and 3,274.98 is: 4,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.78 : 7,774.10 = 3,274.98 : x
  2. Step 2: Convert to fraction form
    5,634.78/7,774.10 = 3,274.98/x
  3. Step 3: Cross multiply
    5,634.78x = 7,774.10 × 3,274.98
  4. Step 4: Simplify right side
    5,634.78x = 25,460,022.02
  5. Step 5: Solve for x
    x = 25,460,022.02/5,634.78
  6. Step 6: Final answer
    x = 4,518.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.