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Finding the Fourth Proportional to 12,211.65, 16,855.16 and 6,908.18

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Solution

The fourth proportional to 12,211.65, 16,855.16 and 6,908.18 is: 9,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.65 : 16,855.16 = 6,908.18 : x
  2. Step 2: Convert to fraction form
    12,211.65/16,855.16 = 6,908.18/x
  3. Step 3: Cross multiply
    12,211.65x = 16,855.16 × 6,908.18
  4. Step 4: Simplify right side
    12,211.65x = 116,438,360.39
  5. Step 5: Solve for x
    x = 116,438,360.39/12,211.65
  6. Step 6: Final answer
    x = 9,535.02

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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.