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Finding the Fourth Proportional to 6,302.75, 8,697.80 and 3,650.30

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Solution

The fourth proportional to 6,302.75, 8,697.80 and 3,650.30 is: 5,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.75 : 8,697.80 = 3,650.30 : x
  2. Step 2: Convert to fraction form
    6,302.75/8,697.80 = 3,650.30/x
  3. Step 3: Cross multiply
    6,302.75x = 8,697.80 × 3,650.30
  4. Step 4: Simplify right side
    6,302.75x = 31,749,579.34
  5. Step 5: Solve for x
    x = 31,749,579.34/6,302.75
  6. Step 6: Final answer
    x = 5,037.42

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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.