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Finding the Fourth Proportional to 6,961.95, 9,604.12 and 5,072.63

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Solution

The fourth proportional to 6,961.95, 9,604.12 and 5,072.63 is: 6,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.95 : 9,604.12 = 5,072.63 : x
  2. Step 2: Convert to fraction form
    6,961.95/9,604.12 = 5,072.63/x
  3. Step 3: Cross multiply
    6,961.95x = 9,604.12 × 5,072.63
  4. Step 4: Simplify right side
    6,961.95x = 48,718,096.04
  5. Step 5: Solve for x
    x = 48,718,096.04/6,961.95
  6. Step 6: Final answer
    x = 6,997.77

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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.