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Finding the Fourth Proportional to 8,497.84, 12,694.48 and 6,137.68

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Solution

The fourth proportional to 8,497.84, 12,694.48 and 6,137.68 is: 9,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.84 : 12,694.48 = 6,137.68 : x
  2. Step 2: Convert to fraction form
    8,497.84/12,694.48 = 6,137.68/x
  3. Step 3: Cross multiply
    8,497.84x = 12,694.48 × 6,137.68
  4. Step 4: Simplify right side
    8,497.84x = 77,914,656.01
  5. Step 5: Solve for x
    x = 77,914,656.01/8,497.84
  6. Step 6: Final answer
    x = 9,168.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.