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Finding the Fourth Proportional to 12,444.05, 18,641.05 and 6,185.14

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Solution

The fourth proportional to 12,444.05, 18,641.05 and 6,185.14 is: 9,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.05 : 18,641.05 = 6,185.14 : x
  2. Step 2: Convert to fraction form
    12,444.05/18,641.05 = 6,185.14/x
  3. Step 3: Cross multiply
    12,444.05x = 18,641.05 × 6,185.14
  4. Step 4: Simplify right side
    12,444.05x = 115,297,504.00
  5. Step 5: Solve for x
    x = 115,297,504.00/12,444.05
  6. Step 6: Final answer
    x = 9,265.27

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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.