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Finding the Fourth Proportional to 8,101.83, 12,153.03 and 2,835.78

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Solution

The fourth proportional to 8,101.83, 12,153.03 and 2,835.78 is: 4,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.83 : 12,153.03 = 2,835.78 : x
  2. Step 2: Convert to fraction form
    8,101.83/12,153.03 = 2,835.78/x
  3. Step 3: Cross multiply
    8,101.83x = 12,153.03 × 2,835.78
  4. Step 4: Simplify right side
    8,101.83x = 34,463,319.41
  5. Step 5: Solve for x
    x = 34,463,319.41/8,101.83
  6. Step 6: Final answer
    x = 4,253.77

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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.