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Finding the Fourth Proportional to 6,873.66, 10,312.74 and 2,194.44

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Solution

The fourth proportional to 6,873.66, 10,312.74 and 2,194.44 is: 3,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.66 : 10,312.74 = 2,194.44 : x
  2. Step 2: Convert to fraction form
    6,873.66/10,312.74 = 2,194.44/x
  3. Step 3: Cross multiply
    6,873.66x = 10,312.74 × 2,194.44
  4. Step 4: Simplify right side
    6,873.66x = 22,630,689.17
  5. Step 5: Solve for x
    x = 22,630,689.17/6,873.66
  6. Step 6: Final answer
    x = 3,292.38

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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.