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Finding the Fourth Proportional to 8,283.58, 12,419.49 and 3,898.78

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Solution

The fourth proportional to 8,283.58, 12,419.49 and 3,898.78 is: 5,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.58 : 12,419.49 = 3,898.78 : x
  2. Step 2: Convert to fraction form
    8,283.58/12,419.49 = 3,898.78/x
  3. Step 3: Cross multiply
    8,283.58x = 12,419.49 × 3,898.78
  4. Step 4: Simplify right side
    8,283.58x = 48,420,859.22
  5. Step 5: Solve for x
    x = 48,420,859.22/8,283.58
  6. Step 6: Final answer
    x = 5,845.40

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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.