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Finding the Fourth Proportional to 6,328.96, 9,493.48 and 4,151.48

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Solution

The fourth proportional to 6,328.96, 9,493.48 and 4,151.48 is: 6,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.96 : 9,493.48 = 4,151.48 : x
  2. Step 2: Convert to fraction form
    6,328.96/9,493.48 = 4,151.48/x
  3. Step 3: Cross multiply
    6,328.96x = 9,493.48 × 4,151.48
  4. Step 4: Simplify right side
    6,328.96x = 39,411,992.35
  5. Step 5: Solve for x
    x = 39,411,992.35/6,328.96
  6. Step 6: Final answer
    x = 6,227.25

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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.