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Finding the Fourth Proportional to 19,774.17, 29,662.83 and 5,734.44

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Solution

The fourth proportional to 19,774.17, 29,662.83 and 5,734.44 is: 8,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.17 : 29,662.83 = 5,734.44 : x
  2. Step 2: Convert to fraction form
    19,774.17/29,662.83 = 5,734.44/x
  3. Step 3: Cross multiply
    19,774.17x = 29,662.83 × 5,734.44
  4. Step 4: Simplify right side
    19,774.17x = 170,099,718.87
  5. Step 5: Solve for x
    x = 170,099,718.87/19,774.17
  6. Step 6: Final answer
    x = 8,602.12

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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.