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Finding the Fourth Proportional to 6,942.84, 9,580.26 and 3,958.30

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Solution

The fourth proportional to 6,942.84, 9,580.26 and 3,958.30 is: 5,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.84 : 9,580.26 = 3,958.30 : x
  2. Step 2: Convert to fraction form
    6,942.84/9,580.26 = 3,958.30/x
  3. Step 3: Cross multiply
    6,942.84x = 9,580.26 × 3,958.30
  4. Step 4: Simplify right side
    6,942.84x = 37,921,543.16
  5. Step 5: Solve for x
    x = 37,921,543.16/6,942.84
  6. Step 6: Final answer
    x = 5,461.96

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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.