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Finding the Fourth Proportional to 12,773.62, 19,160.42 and 4,009.22

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Solution

The fourth proportional to 12,773.62, 19,160.42 and 4,009.22 is: 6,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.62 : 19,160.42 = 4,009.22 : x
  2. Step 2: Convert to fraction form
    12,773.62/19,160.42 = 4,009.22/x
  3. Step 3: Cross multiply
    12,773.62x = 19,160.42 × 4,009.22
  4. Step 4: Simplify right side
    12,773.62x = 76,818,339.07
  5. Step 5: Solve for x
    x = 76,818,339.07/12,773.62
  6. Step 6: Final answer
    x = 6,013.83

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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.