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Finding the Fourth Proportional to 12,497.96, 17,247.13 and 6,832.70

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Solution

The fourth proportional to 12,497.96, 17,247.13 and 6,832.70 is: 9,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.96 : 17,247.13 = 6,832.70 : x
  2. Step 2: Convert to fraction form
    12,497.96/17,247.13 = 6,832.70/x
  3. Step 3: Cross multiply
    12,497.96x = 17,247.13 × 6,832.70
  4. Step 4: Simplify right side
    12,497.96x = 117,844,523.53
  5. Step 5: Solve for x
    x = 117,844,523.53/12,497.96
  6. Step 6: Final answer
    x = 9,429.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.