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Finding the Fourth Proportional to 6,938.46, 9,571.87 and 4,248.86

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Solution

The fourth proportional to 6,938.46, 9,571.87 and 4,248.86 is: 5,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.46 : 9,571.87 = 4,248.86 : x
  2. Step 2: Convert to fraction form
    6,938.46/9,571.87 = 4,248.86/x
  3. Step 3: Cross multiply
    6,938.46x = 9,571.87 × 4,248.86
  4. Step 4: Simplify right side
    6,938.46x = 40,669,493.02
  5. Step 5: Solve for x
    x = 40,669,493.02/6,938.46
  6. Step 6: Final answer
    x = 5,861.46

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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.