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Finding the Fourth Proportional to 13,098.09, 19,648.30 and 3,737.94

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Solution

The fourth proportional to 13,098.09, 19,648.30 and 3,737.94 is: 5,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.09 : 19,648.30 = 3,737.94 : x
  2. Step 2: Convert to fraction form
    13,098.09/19,648.30 = 3,737.94/x
  3. Step 3: Cross multiply
    13,098.09x = 19,648.30 × 3,737.94
  4. Step 4: Simplify right side
    13,098.09x = 73,444,166.50
  5. Step 5: Solve for x
    x = 73,444,166.50/13,098.09
  6. Step 6: Final answer
    x = 5,607.24

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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.