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Finding the Fourth Proportional to 6,396.46, 9,580.79 and 3,102.63

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Solution

The fourth proportional to 6,396.46, 9,580.79 and 3,102.63 is: 4,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.46 : 9,580.79 = 3,102.63 : x
  2. Step 2: Convert to fraction form
    6,396.46/9,580.79 = 3,102.63/x
  3. Step 3: Cross multiply
    6,396.46x = 9,580.79 × 3,102.63
  4. Step 4: Simplify right side
    6,396.46x = 29,725,646.48
  5. Step 5: Solve for x
    x = 29,725,646.48/6,396.46
  6. Step 6: Final answer
    x = 4,647.20

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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.