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Finding the Fourth Proportional to 11,497.80, 17,246.70 and 6,832.20

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Solution

The fourth proportional to 11,497.80, 17,246.70 and 6,832.20 is: 10,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.80 : 17,246.70 = 6,832.20 : x
  2. Step 2: Convert to fraction form
    11,497.80/17,246.70 = 6,832.20/x
  3. Step 3: Cross multiply
    11,497.80x = 17,246.70 × 6,832.20
  4. Step 4: Simplify right side
    11,497.80x = 117,832,903.74
  5. Step 5: Solve for x
    x = 117,832,903.74/11,497.80
  6. Step 6: Final answer
    x = 10,248.30

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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.