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Finding the Fourth Proportional to 7,570, 11,355.27 and 2,023.66

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Solution

The fourth proportional to 7,570, 11,355.27 and 2,023.66 is: 3,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570 : 11,355.27 = 2,023.66 : x
  2. Step 2: Convert to fraction form
    7,570/11,355.27 = 2,023.66/x
  3. Step 3: Cross multiply
    7,570x = 11,355.27 × 2,023.66
  4. Step 4: Simplify right side
    7,570x = 22,979,205.69
  5. Step 5: Solve for x
    x = 22,979,205.69/7,570
  6. Step 6: Final answer
    x = 3,035.56

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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.