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Finding the Fourth Proportional to 7,765.81, 11,626.23 and 6,964.52

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Solution

The fourth proportional to 7,765.81, 11,626.23 and 6,964.52 is: 10,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.81 : 11,626.23 = 6,964.52 : x
  2. Step 2: Convert to fraction form
    7,765.81/11,626.23 = 6,964.52/x
  3. Step 3: Cross multiply
    7,765.81x = 11,626.23 × 6,964.52
  4. Step 4: Simplify right side
    7,765.81x = 80,971,079.35
  5. Step 5: Solve for x
    x = 80,971,079.35/7,765.81
  6. Step 6: Final answer
    x = 10,426.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.