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Finding the Fourth Proportional to 6,962.76, 9,604.26 and 4,310.28

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Solution

The fourth proportional to 6,962.76, 9,604.26 and 4,310.28 is: 5,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.76 : 9,604.26 = 4,310.28 : x
  2. Step 2: Convert to fraction form
    6,962.76/9,604.26 = 4,310.28/x
  3. Step 3: Cross multiply
    6,962.76x = 9,604.26 × 4,310.28
  4. Step 4: Simplify right side
    6,962.76x = 41,397,049.79
  5. Step 5: Solve for x
    x = 41,397,049.79/6,962.76
  6. Step 6: Final answer
    x = 5,945.49

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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.