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Finding the Fourth Proportional to 11,952.02, 16,491.78 and 6,646.14

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Solution

The fourth proportional to 11,952.02, 16,491.78 and 6,646.14 is: 9,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.02 : 16,491.78 = 6,646.14 : x
  2. Step 2: Convert to fraction form
    11,952.02/16,491.78 = 6,646.14/x
  3. Step 3: Cross multiply
    11,952.02x = 16,491.78 × 6,646.14
  4. Step 4: Simplify right side
    11,952.02x = 109,606,678.73
  5. Step 5: Solve for x
    x = 109,606,678.73/11,952.02
  6. Step 6: Final answer
    x = 9,170.56

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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.