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Finding the Fourth Proportional to 6,283.83, 8,671.96 and 3,765.47

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Solution

The fourth proportional to 6,283.83, 8,671.96 and 3,765.47 is: 5,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.83 : 8,671.96 = 3,765.47 : x
  2. Step 2: Convert to fraction form
    6,283.83/8,671.96 = 3,765.47/x
  3. Step 3: Cross multiply
    6,283.83x = 8,671.96 × 3,765.47
  4. Step 4: Simplify right side
    6,283.83x = 32,653,994.17
  5. Step 5: Solve for x
    x = 32,653,994.17/6,283.83
  6. Step 6: Final answer
    x = 5,196.51

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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.