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Finding the Fourth Proportional to 13,791.66, 19,032.74 and 7,504.03

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Solution

The fourth proportional to 13,791.66, 19,032.74 and 7,504.03 is: 10,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.66 : 19,032.74 = 7,504.03 : x
  2. Step 2: Convert to fraction form
    13,791.66/19,032.74 = 7,504.03/x
  3. Step 3: Cross multiply
    13,791.66x = 19,032.74 × 7,504.03
  4. Step 4: Simplify right side
    13,791.66x = 142,822,251.94
  5. Step 5: Solve for x
    x = 142,822,251.94/13,791.66
  6. Step 6: Final answer
    x = 10,355.70

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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.