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Finding the Fourth Proportional to 6,283.52, 8,669.76 and 3,765.76

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Solution

The fourth proportional to 6,283.52, 8,669.76 and 3,765.76 is: 5,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.52 : 8,669.76 = 3,765.76 : x
  2. Step 2: Convert to fraction form
    6,283.52/8,669.76 = 3,765.76/x
  3. Step 3: Cross multiply
    6,283.52x = 8,669.76 × 3,765.76
  4. Step 4: Simplify right side
    6,283.52x = 32,648,235.42
  5. Step 5: Solve for x
    x = 32,648,235.42/6,283.52
  6. Step 6: Final answer
    x = 5,195.85

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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.