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Finding the Fourth Proportional to 4,001, 6,002.46 and 1,265

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Solution

The fourth proportional to 4,001, 6,002.46 and 1,265 is: 1,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001 : 6,002.46 = 1,265 : x
  2. Step 2: Convert to fraction form
    4,001/6,002.46 = 1,265/x
  3. Step 3: Cross multiply
    4,001x = 6,002.46 × 1,265
  4. Step 4: Simplify right side
    4,001x = 7,593,111.90
  5. Step 5: Solve for x
    x = 7,593,111.90/4,001
  6. Step 6: Final answer
    x = 1,897.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.