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Finding the Fourth Proportional to 11,309.76, 16,975.44 and 6,935.76

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Solution

The fourth proportional to 11,309.76, 16,975.44 and 6,935.76 is: 10,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.76 : 16,975.44 = 6,935.76 : x
  2. Step 2: Convert to fraction form
    11,309.76/16,975.44 = 6,935.76/x
  3. Step 3: Cross multiply
    11,309.76x = 16,975.44 × 6,935.76
  4. Step 4: Simplify right side
    11,309.76x = 117,737,577.73
  5. Step 5: Solve for x
    x = 117,737,577.73/11,309.76
  6. Step 6: Final answer
    x = 10,410.26

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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.