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Finding the Fourth Proportional to 13,508.64, 18,640.02 and 7,539.48

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Solution

The fourth proportional to 13,508.64, 18,640.02 and 7,539.48 is: 10,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.64 : 18,640.02 = 7,539.48 : x
  2. Step 2: Convert to fraction form
    13,508.64/18,640.02 = 7,539.48/x
  3. Step 3: Cross multiply
    13,508.64x = 18,640.02 × 7,539.48
  4. Step 4: Simplify right side
    13,508.64x = 140,536,057.99
  5. Step 5: Solve for x
    x = 140,536,057.99/13,508.64
  6. Step 6: Final answer
    x = 10,403.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.