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Finding the Fourth Proportional to 13,896.76, 19,177 and 7,609.20

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Solution

The fourth proportional to 13,896.76, 19,177 and 7,609.20 is: 10,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.76 : 19,177 = 7,609.20 : x
  2. Step 2: Convert to fraction form
    13,896.76/19,177 = 7,609.20/x
  3. Step 3: Cross multiply
    13,896.76x = 19,177 × 7,609.20
  4. Step 4: Simplify right side
    13,896.76x = 145,921,628.40
  5. Step 5: Solve for x
    x = 145,921,628.40/13,896.76
  6. Step 6: Final answer
    x = 10,500.41

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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.