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Finding the Fourth Proportional to 13,799.25, 19,044 and 7,831.44

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Solution

The fourth proportional to 13,799.25, 19,044 and 7,831.44 is: 10,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799.25 : 19,044 = 7,831.44 : x
  2. Step 2: Convert to fraction form
    13,799.25/19,044 = 7,831.44/x
  3. Step 3: Cross multiply
    13,799.25x = 19,044 × 7,831.44
  4. Step 4: Simplify right side
    13,799.25x = 149,141,943.36
  5. Step 5: Solve for x
    x = 149,141,943.36/13,799.25
  6. Step 6: Final answer
    x = 10,807.97

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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.