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Finding the Fourth Proportional to 12,140.67, 16,754.44 and 6,835.68

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Solution

The fourth proportional to 12,140.67, 16,754.44 and 6,835.68 is: 9,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.67 : 16,754.44 = 6,835.68 : x
  2. Step 2: Convert to fraction form
    12,140.67/16,754.44 = 6,835.68/x
  3. Step 3: Cross multiply
    12,140.67x = 16,754.44 × 6,835.68
  4. Step 4: Simplify right side
    12,140.67x = 114,527,990.42
  5. Step 5: Solve for x
    x = 114,527,990.42/12,140.67
  6. Step 6: Final answer
    x = 9,433.42

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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.