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Finding the Fourth Proportional to 6,850.76, 10,276.15 and 1,656.64

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Solution

The fourth proportional to 6,850.76, 10,276.15 and 1,656.64 is: 2,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.76 : 10,276.15 = 1,656.64 : x
  2. Step 2: Convert to fraction form
    6,850.76/10,276.15 = 1,656.64/x
  3. Step 3: Cross multiply
    6,850.76x = 10,276.15 × 1,656.64
  4. Step 4: Simplify right side
    6,850.76x = 17,023,872.85
  5. Step 5: Solve for x
    x = 17,023,872.85/6,850.76
  6. Step 6: Final answer
    x = 2,484.96

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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.