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Finding the Fourth Proportional to 14,912.57, 22,360.21 and 6,137.57

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Solution

The fourth proportional to 14,912.57, 22,360.21 and 6,137.57 is: 9,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.57 : 22,360.21 = 6,137.57 : x
  2. Step 2: Convert to fraction form
    14,912.57/22,360.21 = 6,137.57/x
  3. Step 3: Cross multiply
    14,912.57x = 22,360.21 × 6,137.57
  4. Step 4: Simplify right side
    14,912.57x = 137,237,354.09
  5. Step 5: Solve for x
    x = 137,237,354.09/14,912.57
  6. Step 6: Final answer
    x = 9,202.80

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1.5x scale

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.