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Finding the Fourth Proportional to 8,002.00, 12,001.55 and 2,157.24

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Solution

The fourth proportional to 8,002.00, 12,001.55 and 2,157.24 is: 3,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.00 : 12,001.55 = 2,157.24 : x
  2. Step 2: Convert to fraction form
    8,002.00/12,001.55 = 2,157.24/x
  3. Step 3: Cross multiply
    8,002.00x = 12,001.55 × 2,157.24
  4. Step 4: Simplify right side
    8,002.00x = 25,890,212.94
  5. Step 5: Solve for x
    x = 25,890,212.94/8,002.00
  6. Step 6: Final answer
    x = 3,235.47

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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.