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Finding the Fourth Proportional to 6,774.05, 10,161.76 and 1,844.08

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Solution

The fourth proportional to 6,774.05, 10,161.76 and 1,844.08 is: 2,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.05 : 10,161.76 = 1,844.08 : x
  2. Step 2: Convert to fraction form
    6,774.05/10,161.76 = 1,844.08/x
  3. Step 3: Cross multiply
    6,774.05x = 10,161.76 × 1,844.08
  4. Step 4: Simplify right side
    6,774.05x = 18,739,038.35
  5. Step 5: Solve for x
    x = 18,739,038.35/6,774.05
  6. Step 6: Final answer
    x = 2,766.30

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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.