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Finding the Fourth Proportional to 11,952.16, 16,494.98 and 6,647.97

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Solution

The fourth proportional to 11,952.16, 16,494.98 and 6,647.97 is: 9,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.16 : 16,494.98 = 6,647.97 : x
  2. Step 2: Convert to fraction form
    11,952.16/16,494.98 = 6,647.97/x
  3. Step 3: Cross multiply
    11,952.16x = 16,494.98 × 6,647.97
  4. Step 4: Simplify right side
    11,952.16x = 109,658,160.81
  5. Step 5: Solve for x
    x = 109,658,160.81/11,952.16
  6. Step 6: Final answer
    x = 9,174.76

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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.