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Finding the Fourth Proportional to 7,754.46, 11,630.46 and 6,446.58

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Solution

The fourth proportional to 7,754.46, 11,630.46 and 6,446.58 is: 9,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.46 : 11,630.46 = 6,446.58 : x
  2. Step 2: Convert to fraction form
    7,754.46/11,630.46 = 6,446.58/x
  3. Step 3: Cross multiply
    7,754.46x = 11,630.46 × 6,446.58
  4. Step 4: Simplify right side
    7,754.46x = 74,976,690.83
  5. Step 5: Solve for x
    x = 74,976,690.83/7,754.46
  6. Step 6: Final answer
    x = 9,668.85

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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.