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Finding the Fourth Proportional to 9,694.61, 14,522.87 and 6,397.64

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Solution

The fourth proportional to 9,694.61, 14,522.87 and 6,397.64 is: 9,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.61 : 14,522.87 = 6,397.64 : x
  2. Step 2: Convert to fraction form
    9,694.61/14,522.87 = 6,397.64/x
  3. Step 3: Cross multiply
    9,694.61x = 14,522.87 × 6,397.64
  4. Step 4: Simplify right side
    9,694.61x = 92,912,037.41
  5. Step 5: Solve for x
    x = 92,912,037.41/9,694.61
  6. Step 6: Final answer
    x = 9,583.89

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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.