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Finding the Fourth Proportional to 6,965.10, 9,764.10 and 6,965.10

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Solution

The fourth proportional to 6,965.10, 9,764.10 and 6,965.10 is: 9,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.10 : 9,764.10 = 6,965.10 : x
  2. Step 2: Convert to fraction form
    6,965.10/9,764.10 = 6,965.10/x
  3. Step 3: Cross multiply
    6,965.10x = 9,764.10 × 6,965.10
  4. Step 4: Simplify right side
    6,965.10x = 68,007,932.91
  5. Step 5: Solve for x
    x = 68,007,932.91/6,965.10
  6. Step 6: Final answer
    x = 9,764.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.