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Finding the Fourth Proportional to 9,706.68, 14,560.02 and 6,440.64

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Solution

The fourth proportional to 9,706.68, 14,560.02 and 6,440.64 is: 9,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.68 : 14,560.02 = 6,440.64 : x
  2. Step 2: Convert to fraction form
    9,706.68/14,560.02 = 6,440.64/x
  3. Step 3: Cross multiply
    9,706.68x = 14,560.02 × 6,440.64
  4. Step 4: Simplify right side
    9,706.68x = 93,775,847.21
  5. Step 5: Solve for x
    x = 93,775,847.21/9,706.68
  6. Step 6: Final answer
    x = 9,660.96

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Double scale
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Similar ratio
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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.