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Finding the Fourth Proportional to 6,926.98, 9,560.46 and 4,094.24

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Solution

The fourth proportional to 6,926.98, 9,560.46 and 4,094.24 is: 5,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.98 : 9,560.46 = 4,094.24 : x
  2. Step 2: Convert to fraction form
    6,926.98/9,560.46 = 4,094.24/x
  3. Step 3: Cross multiply
    6,926.98x = 9,560.46 × 4,094.24
  4. Step 4: Simplify right side
    6,926.98x = 39,142,817.75
  5. Step 5: Solve for x
    x = 39,142,817.75/6,926.98
  6. Step 6: Final answer
    x = 5,650.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.