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Finding the Fourth Proportional to 10,737, 14,817.06 and 6,021.18

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Solution

The fourth proportional to 10,737, 14,817.06 and 6,021.18 is: 8,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737 : 14,817.06 = 6,021.18 : x
  2. Step 2: Convert to fraction form
    10,737/14,817.06 = 6,021.18/x
  3. Step 3: Cross multiply
    10,737x = 14,817.06 × 6,021.18
  4. Step 4: Simplify right side
    10,737x = 89,216,185.33
  5. Step 5: Solve for x
    x = 89,216,185.33/10,737
  6. Step 6: Final answer
    x = 8,309.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.