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Finding the Fourth Proportional to 6,961.06, 9,592.41 and 4,968.10

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Solution

The fourth proportional to 6,961.06, 9,592.41 and 4,968.10 is: 6,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.06 : 9,592.41 = 4,968.10 : x
  2. Step 2: Convert to fraction form
    6,961.06/9,592.41 = 4,968.10/x
  3. Step 3: Cross multiply
    6,961.06x = 9,592.41 × 4,968.10
  4. Step 4: Simplify right side
    6,961.06x = 47,656,052.12
  5. Step 5: Solve for x
    x = 47,656,052.12/6,961.06
  6. Step 6: Final answer
    x = 6,846.09

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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.