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Finding the Fourth Proportional to 6,774.50, 10,152.84 and 2,874.08

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Solution

The fourth proportional to 6,774.50, 10,152.84 and 2,874.08 is: 4,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.50 : 10,152.84 = 2,874.08 : x
  2. Step 2: Convert to fraction form
    6,774.50/10,152.84 = 2,874.08/x
  3. Step 3: Cross multiply
    6,774.50x = 10,152.84 × 2,874.08
  4. Step 4: Simplify right side
    6,774.50x = 29,180,074.39
  5. Step 5: Solve for x
    x = 29,180,074.39/6,774.50
  6. Step 6: Final answer
    x = 4,307.34

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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.