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Finding the Fourth Proportional to 13,402.96, 20,098.05 and 6,007.48

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Solution

The fourth proportional to 13,402.96, 20,098.05 and 6,007.48 is: 9,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.96 : 20,098.05 = 6,007.48 : x
  2. Step 2: Convert to fraction form
    13,402.96/20,098.05 = 6,007.48/x
  3. Step 3: Cross multiply
    13,402.96x = 20,098.05 × 6,007.48
  4. Step 4: Simplify right side
    13,402.96x = 120,738,633.41
  5. Step 5: Solve for x
    x = 120,738,633.41/13,402.96
  6. Step 6: Final answer
    x = 9,008.36

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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.