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Finding the Fourth Proportional to 12,486.80, 18,706.44 and 6,646.16

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Solution

The fourth proportional to 12,486.80, 18,706.44 and 6,646.16 is: 9,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.80 : 18,706.44 = 6,646.16 : x
  2. Step 2: Convert to fraction form
    12,486.80/18,706.44 = 6,646.16/x
  3. Step 3: Cross multiply
    12,486.80x = 18,706.44 × 6,646.16
  4. Step 4: Simplify right side
    12,486.80x = 124,325,993.27
  5. Step 5: Solve for x
    x = 124,325,993.27/12,486.80
  6. Step 6: Final answer
    x = 9,956.59

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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.