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Finding the Fourth Proportional to 13,796.73, 19,038.80 and 7,828.27

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Solution

The fourth proportional to 13,796.73, 19,038.80 and 7,828.27 is: 10,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.73 : 19,038.80 = 7,828.27 : x
  2. Step 2: Convert to fraction form
    13,796.73/19,038.80 = 7,828.27/x
  3. Step 3: Cross multiply
    13,796.73x = 19,038.80 × 7,828.27
  4. Step 4: Simplify right side
    13,796.73x = 149,040,838.85
  5. Step 5: Solve for x
    x = 149,040,838.85/13,796.73
  6. Step 6: Final answer
    x = 10,802.62

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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.