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Finding the Fourth Proportional to 6,997.12, 9,652.98 and 4,201

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Solution

The fourth proportional to 6,997.12, 9,652.98 and 4,201 is: 5,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.12 : 9,652.98 = 4,201 : x
  2. Step 2: Convert to fraction form
    6,997.12/9,652.98 = 4,201/x
  3. Step 3: Cross multiply
    6,997.12x = 9,652.98 × 4,201
  4. Step 4: Simplify right side
    6,997.12x = 40,552,168.98
  5. Step 5: Solve for x
    x = 40,552,168.98/6,997.12
  6. Step 6: Final answer
    x = 5,795.55

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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.