Home / 13,827-20,737.41-6,711.02

Finding the Fourth Proportional to 13,827, 20,737.41 and 6,711.02

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Solution

The fourth proportional to 13,827, 20,737.41 and 6,711.02 is: 10,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 20,737.41 = 6,711.02 : x
  2. Step 2: Convert to fraction form
    13,827/20,737.41 = 6,711.02/x
  3. Step 3: Cross multiply
    13,827x = 20,737.41 × 6,711.02
  4. Step 4: Simplify right side
    13,827x = 139,169,069.57
  5. Step 5: Solve for x
    x = 139,169,069.57/13,827
  6. Step 6: Final answer
    x = 10,065.02

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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.