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Finding the Fourth Proportional to 13,809.78, 20,702.24 and 5,038.56

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Solution

The fourth proportional to 13,809.78, 20,702.24 and 5,038.56 is: 7,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.78 : 20,702.24 = 5,038.56 : x
  2. Step 2: Convert to fraction form
    13,809.78/20,702.24 = 5,038.56/x
  3. Step 3: Cross multiply
    13,809.78x = 20,702.24 × 5,038.56
  4. Step 4: Simplify right side
    13,809.78x = 104,309,478.37
  5. Step 5: Solve for x
    x = 104,309,478.37/13,809.78
  6. Step 6: Final answer
    x = 7,553.30

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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.