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Finding the Fourth Proportional to 6,960.06, 9,591.03 and 4,967.10

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Solution

The fourth proportional to 6,960.06, 9,591.03 and 4,967.10 is: 6,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.06 : 9,591.03 = 4,967.10 : x
  2. Step 2: Convert to fraction form
    6,960.06/9,591.03 = 4,967.10/x
  3. Step 3: Cross multiply
    6,960.06x = 9,591.03 × 4,967.10
  4. Step 4: Simplify right side
    6,960.06x = 47,639,605.11
  5. Step 5: Solve for x
    x = 47,639,605.11/6,960.06
  6. Step 6: Final answer
    x = 6,844.71

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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.