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Finding the Fourth Proportional to 13,896, 19,176.48 and 7,608.42

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Solution

The fourth proportional to 13,896, 19,176.48 and 7,608.42 is: 10,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896 : 19,176.48 = 7,608.42 : x
  2. Step 2: Convert to fraction form
    13,896/19,176.48 = 7,608.42/x
  3. Step 3: Cross multiply
    13,896x = 19,176.48 × 7,608.42
  4. Step 4: Simplify right side
    13,896x = 145,902,713.96
  5. Step 5: Solve for x
    x = 145,902,713.96/13,896
  6. Step 6: Final answer
    x = 10,499.62

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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.