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Finding the Fourth Proportional to 12,169.70, 16,795.92 and 6,865.01

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Solution

The fourth proportional to 12,169.70, 16,795.92 and 6,865.01 is: 9,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.70 : 16,795.92 = 6,865.01 : x
  2. Step 2: Convert to fraction form
    12,169.70/16,795.92 = 6,865.01/x
  3. Step 3: Cross multiply
    12,169.70x = 16,795.92 × 6,865.01
  4. Step 4: Simplify right side
    12,169.70x = 115,304,158.76
  5. Step 5: Solve for x
    x = 115,304,158.76/12,169.70
  6. Step 6: Final answer
    x = 9,474.69

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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.