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Finding the Fourth Proportional to 6,266, 8,647.35 and 3,471.50

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Solution

The fourth proportional to 6,266, 8,647.35 and 3,471.50 is: 4,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266 : 8,647.35 = 3,471.50 : x
  2. Step 2: Convert to fraction form
    6,266/8,647.35 = 3,471.50/x
  3. Step 3: Cross multiply
    6,266x = 8,647.35 × 3,471.50
  4. Step 4: Simplify right side
    6,266x = 30,019,275.53
  5. Step 5: Solve for x
    x = 30,019,275.53/6,266
  6. Step 6: Final answer
    x = 4,790.82

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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.