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Finding the Fourth Proportional to 8,306.64, 11,463.08 and 4,770.96

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Solution

The fourth proportional to 8,306.64, 11,463.08 and 4,770.96 is: 6,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.64 : 11,463.08 = 4,770.96 : x
  2. Step 2: Convert to fraction form
    8,306.64/11,463.08 = 4,770.96/x
  3. Step 3: Cross multiply
    8,306.64x = 11,463.08 × 4,770.96
  4. Step 4: Simplify right side
    8,306.64x = 54,689,896.16
  5. Step 5: Solve for x
    x = 54,689,896.16/8,306.64
  6. Step 6: Final answer
    x = 6,583.88

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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.