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Finding the Fourth Proportional to 6,502.20, 8,971.47 and 3,850.26

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Solution

The fourth proportional to 6,502.20, 8,971.47 and 3,850.26 is: 5,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.20 : 8,971.47 = 3,850.26 : x
  2. Step 2: Convert to fraction form
    6,502.20/8,971.47 = 3,850.26/x
  3. Step 3: Cross multiply
    6,502.20x = 8,971.47 × 3,850.26
  4. Step 4: Simplify right side
    6,502.20x = 34,542,492.08
  5. Step 5: Solve for x
    x = 34,542,492.08/6,502.20
  6. Step 6: Final answer
    x = 5,312.43

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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.