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Finding the Fourth Proportional to 6,434.70, 8,880.12 and 3,745.70

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Solution

The fourth proportional to 6,434.70, 8,880.12 and 3,745.70 is: 5,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.70 : 8,880.12 = 3,745.70 : x
  2. Step 2: Convert to fraction form
    6,434.70/8,880.12 = 3,745.70/x
  3. Step 3: Cross multiply
    6,434.70x = 8,880.12 × 3,745.70
  4. Step 4: Simplify right side
    6,434.70x = 33,262,265.48
  5. Step 5: Solve for x
    x = 33,262,265.48/6,434.70
  6. Step 6: Final answer
    x = 5,169.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.