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Finding the Fourth Proportional to 13,796.24, 19,039.24 and 7,509.04

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Solution

The fourth proportional to 13,796.24, 19,039.24 and 7,509.04 is: 10,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.24 : 19,039.24 = 7,509.04 : x
  2. Step 2: Convert to fraction form
    13,796.24/19,039.24 = 7,509.04/x
  3. Step 3: Cross multiply
    13,796.24x = 19,039.24 × 7,509.04
  4. Step 4: Simplify right side
    13,796.24x = 142,966,414.73
  5. Step 5: Solve for x
    x = 142,966,414.73/13,796.24
  6. Step 6: Final answer
    x = 10,362.71

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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.