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Finding the Fourth Proportional to 12,141, 16,754.70 and 6,835.56

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Solution

The fourth proportional to 12,141, 16,754.70 and 6,835.56 is: 9,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141 : 16,754.70 = 6,835.56 : x
  2. Step 2: Convert to fraction form
    12,141/16,754.70 = 6,835.56/x
  3. Step 3: Cross multiply
    12,141x = 16,754.70 × 6,835.56
  4. Step 4: Simplify right side
    12,141x = 114,527,757.13
  5. Step 5: Solve for x
    x = 114,527,757.13/12,141
  6. Step 6: Final answer
    x = 9,433.14

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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.