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Finding the Fourth Proportional to 11,710.98, 17,503.20 and 10,776.96

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Solution

The fourth proportional to 11,710.98, 17,503.20 and 10,776.96 is: 16,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.98 : 17,503.20 = 10,776.96 : x
  2. Step 2: Convert to fraction form
    11,710.98/17,503.20 = 10,776.96/x
  3. Step 3: Cross multiply
    11,710.98x = 17,503.20 × 10,776.96
  4. Step 4: Simplify right side
    11,710.98x = 188,631,286.27
  5. Step 5: Solve for x
    x = 188,631,286.27/11,710.98
  6. Step 6: Final answer
    x = 16,107.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.