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Finding the Fourth Proportional to 13,777.48, 19,013.11 and 7,489.99

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Solution

The fourth proportional to 13,777.48, 19,013.11 and 7,489.99 is: 10,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.48 : 19,013.11 = 7,489.99 : x
  2. Step 2: Convert to fraction form
    13,777.48/19,013.11 = 7,489.99/x
  3. Step 3: Cross multiply
    13,777.48x = 19,013.11 × 7,489.99
  4. Step 4: Simplify right side
    13,777.48x = 142,408,003.77
  5. Step 5: Solve for x
    x = 142,408,003.77/13,777.48
  6. Step 6: Final answer
    x = 10,336.29

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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.