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Finding the Fourth Proportional to 6,964.66, 9,605.80 and 4,313.54

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Solution

The fourth proportional to 6,964.66, 9,605.80 and 4,313.54 is: 5,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.66 : 9,605.80 = 4,313.54 : x
  2. Step 2: Convert to fraction form
    6,964.66/9,605.80 = 4,313.54/x
  3. Step 3: Cross multiply
    6,964.66x = 9,605.80 × 4,313.54
  4. Step 4: Simplify right side
    6,964.66x = 41,435,002.53
  5. Step 5: Solve for x
    x = 41,435,002.53/6,964.66
  6. Step 6: Final answer
    x = 5,949.32

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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.