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Finding the Fourth Proportional to 10,001, 13,801.38 and 5,809.52

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Solution

The fourth proportional to 10,001, 13,801.38 and 5,809.52 is: 8,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001 : 13,801.38 = 5,809.52 : x
  2. Step 2: Convert to fraction form
    10,001/13,801.38 = 5,809.52/x
  3. Step 3: Cross multiply
    10,001x = 13,801.38 × 5,809.52
  4. Step 4: Simplify right side
    10,001x = 80,179,393.14
  5. Step 5: Solve for x
    x = 80,179,393.14/10,001
  6. Step 6: Final answer
    x = 8,017.14

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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.