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Finding the Fourth Proportional to 12,007.70, 18,019.65 and 7,837.55

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Solution

The fourth proportional to 12,007.70, 18,019.65 and 7,837.55 is: 11,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.70 : 18,019.65 = 7,837.55 : x
  2. Step 2: Convert to fraction form
    12,007.70/18,019.65 = 7,837.55/x
  3. Step 3: Cross multiply
    12,007.70x = 18,019.65 × 7,837.55
  4. Step 4: Simplify right side
    12,007.70x = 141,229,907.86
  5. Step 5: Solve for x
    x = 141,229,907.86/12,007.70
  6. Step 6: Final answer
    x = 11,761.61

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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.