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Finding the Fourth Proportional to 13,837.50, 19,096.02 and 8,248.50

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Solution

The fourth proportional to 13,837.50, 19,096.02 and 8,248.50 is: 11,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.50 : 19,096.02 = 8,248.50 : x
  2. Step 2: Convert to fraction form
    13,837.50/19,096.02 = 8,248.50/x
  3. Step 3: Cross multiply
    13,837.50x = 19,096.02 × 8,248.50
  4. Step 4: Simplify right side
    13,837.50x = 157,513,520.97
  5. Step 5: Solve for x
    x = 157,513,520.97/13,837.50
  6. Step 6: Final answer
    x = 11,383.09

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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.