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Finding the Fourth Proportional to 9,680.46, 14,520.69 and 6,764.46

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Solution

The fourth proportional to 9,680.46, 14,520.69 and 6,764.46 is: 10,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.46 : 14,520.69 = 6,764.46 : x
  2. Step 2: Convert to fraction form
    9,680.46/14,520.69 = 6,764.46/x
  3. Step 3: Cross multiply
    9,680.46x = 14,520.69 × 6,764.46
  4. Step 4: Simplify right side
    9,680.46x = 98,224,626.68
  5. Step 5: Solve for x
    x = 98,224,626.68/9,680.46
  6. Step 6: Final answer
    x = 10,146.69

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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.