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Finding the Fourth Proportional to 12,801.84, 17,662.48 and 10,104.54

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Solution

The fourth proportional to 12,801.84, 17,662.48 and 10,104.54 is: 13,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.84 : 17,662.48 = 10,104.54 : x
  2. Step 2: Convert to fraction form
    12,801.84/17,662.48 = 10,104.54/x
  3. Step 3: Cross multiply
    12,801.84x = 17,662.48 × 10,104.54
  4. Step 4: Simplify right side
    12,801.84x = 178,471,235.66
  5. Step 5: Solve for x
    x = 178,471,235.66/12,801.84
  6. Step 6: Final answer
    x = 13,941.06

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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.