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Finding the Fourth Proportional to 6,328.85, 9,493.43 and 1,946.34

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Solution

The fourth proportional to 6,328.85, 9,493.43 and 1,946.34 is: 2,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.85 : 9,493.43 = 1,946.34 : x
  2. Step 2: Convert to fraction form
    6,328.85/9,493.43 = 1,946.34/x
  3. Step 3: Cross multiply
    6,328.85x = 9,493.43 × 1,946.34
  4. Step 4: Simplify right side
    6,328.85x = 18,477,442.55
  5. Step 5: Solve for x
    x = 18,477,442.55/6,328.85
  6. Step 6: Final answer
    x = 2,919.56

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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.