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Finding the Fourth Proportional to 10,016.67, 13,807.67 and 7,494.96

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Solution

The fourth proportional to 10,016.67, 13,807.67 and 7,494.96 is: 10,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.67 : 13,807.67 = 7,494.96 : x
  2. Step 2: Convert to fraction form
    10,016.67/13,807.67 = 7,494.96/x
  3. Step 3: Cross multiply
    10,016.67x = 13,807.67 × 7,494.96
  4. Step 4: Simplify right side
    10,016.67x = 103,487,896.87
  5. Step 5: Solve for x
    x = 103,487,896.87/10,016.67
  6. Step 6: Final answer
    x = 10,331.57

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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.