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Finding the Fourth Proportional to 10,706.10, 16,059.15 and 9,734.10

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Solution

The fourth proportional to 10,706.10, 16,059.15 and 9,734.10 is: 14,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.10 : 16,059.15 = 9,734.10 : x
  2. Step 2: Convert to fraction form
    10,706.10/16,059.15 = 9,734.10/x
  3. Step 3: Cross multiply
    10,706.10x = 16,059.15 × 9,734.10
  4. Step 4: Simplify right side
    10,706.10x = 156,321,372.02
  5. Step 5: Solve for x
    x = 156,321,372.02/10,706.10
  6. Step 6: Final answer
    x = 14,601.15

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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.