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Finding the Fourth Proportional to 8,197.90, 12,289.54 and 3,002.56

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Solution

The fourth proportional to 8,197.90, 12,289.54 and 3,002.56 is: 4,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.90 : 12,289.54 = 3,002.56 : x
  2. Step 2: Convert to fraction form
    8,197.90/12,289.54 = 3,002.56/x
  3. Step 3: Cross multiply
    8,197.90x = 12,289.54 × 3,002.56
  4. Step 4: Simplify right side
    8,197.90x = 36,900,012.27
  5. Step 5: Solve for x
    x = 36,900,012.27/8,197.90
  6. Step 6: Final answer
    x = 4,501.16

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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.