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Finding the Fourth Proportional to 8,001.63, 12,006.76 and 3,897.63

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Solution

The fourth proportional to 8,001.63, 12,006.76 and 3,897.63 is: 5,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.63 : 12,006.76 = 3,897.63 : x
  2. Step 2: Convert to fraction form
    8,001.63/12,006.76 = 3,897.63/x
  3. Step 3: Cross multiply
    8,001.63x = 12,006.76 × 3,897.63
  4. Step 4: Simplify right side
    8,001.63x = 46,797,888.49
  5. Step 5: Solve for x
    x = 46,797,888.49/8,001.63
  6. Step 6: Final answer
    x = 5,848.54

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1.5x scale

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.