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Finding the Fourth Proportional to 12,097.66, 18,105.08 and 8,404.06

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Solution

The fourth proportional to 12,097.66, 18,105.08 and 8,404.06 is: 12,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.66 : 18,105.08 = 8,404.06 : x
  2. Step 2: Convert to fraction form
    12,097.66/18,105.08 = 8,404.06/x
  3. Step 3: Cross multiply
    12,097.66x = 18,105.08 × 8,404.06
  4. Step 4: Simplify right side
    12,097.66x = 152,156,178.62
  5. Step 5: Solve for x
    x = 152,156,178.62/12,097.66
  6. Step 6: Final answer
    x = 12,577.32

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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.