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Finding the Fourth Proportional to 6,946.89, 9,591.17 and 6,199.56

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Solution

The fourth proportional to 6,946.89, 9,591.17 and 6,199.56 is: 8,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.89 : 9,591.17 = 6,199.56 : x
  2. Step 2: Convert to fraction form
    6,946.89/9,591.17 = 6,199.56/x
  3. Step 3: Cross multiply
    6,946.89x = 9,591.17 × 6,199.56
  4. Step 4: Simplify right side
    6,946.89x = 59,461,033.89
  5. Step 5: Solve for x
    x = 59,461,033.89/6,946.89
  6. Step 6: Final answer
    x = 8,559.37

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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.