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Finding the Fourth Proportional to 7,570, 11,355.64 and 2,098

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Solution

The fourth proportional to 7,570, 11,355.64 and 2,098 is: 3,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570 : 11,355.64 = 2,098 : x
  2. Step 2: Convert to fraction form
    7,570/11,355.64 = 2,098/x
  3. Step 3: Cross multiply
    7,570x = 11,355.64 × 2,098
  4. Step 4: Simplify right side
    7,570x = 23,824,132.72
  5. Step 5: Solve for x
    x = 23,824,132.72/7,570
  6. Step 6: Final answer
    x = 3,147.18

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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.