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Finding the Fourth Proportional to 4,711.24, 7,066.50 and 1,201.24

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Solution

The fourth proportional to 4,711.24, 7,066.50 and 1,201.24 is: 1,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.24 : 7,066.50 = 1,201.24 : x
  2. Step 2: Convert to fraction form
    4,711.24/7,066.50 = 1,201.24/x
  3. Step 3: Cross multiply
    4,711.24x = 7,066.50 × 1,201.24
  4. Step 4: Simplify right side
    4,711.24x = 8,488,562.46
  5. Step 5: Solve for x
    x = 8,488,562.46/4,711.24
  6. Step 6: Final answer
    x = 1,801.77

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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.