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Finding the Fourth Proportional to 4,083, 6,124.70 and 1,161.73

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Solution

The fourth proportional to 4,083, 6,124.70 and 1,161.73 is: 1,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083 : 6,124.70 = 1,161.73 : x
  2. Step 2: Convert to fraction form
    4,083/6,124.70 = 1,161.73/x
  3. Step 3: Cross multiply
    4,083x = 6,124.70 × 1,161.73
  4. Step 4: Simplify right side
    4,083x = 7,115,247.73
  5. Step 5: Solve for x
    x = 7,115,247.73/4,083
  6. Step 6: Final answer
    x = 1,742.65

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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.