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Finding the Fourth Proportional to 13,970.29, 20,956.09 and 4,611.13

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Solution

The fourth proportional to 13,970.29, 20,956.09 and 4,611.13 is: 6,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.29 : 20,956.09 = 4,611.13 : x
  2. Step 2: Convert to fraction form
    13,970.29/20,956.09 = 4,611.13/x
  3. Step 3: Cross multiply
    13,970.29x = 20,956.09 × 4,611.13
  4. Step 4: Simplify right side
    13,970.29x = 96,631,150.50
  5. Step 5: Solve for x
    x = 96,631,150.50/13,970.29
  6. Step 6: Final answer
    x = 6,916.90

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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.