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Finding the Fourth Proportional to 9,647.82, 14,471.74 and 3,074

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Solution

The fourth proportional to 9,647.82, 14,471.74 and 3,074 is: 4,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.82 : 14,471.74 = 3,074 : x
  2. Step 2: Convert to fraction form
    9,647.82/14,471.74 = 3,074/x
  3. Step 3: Cross multiply
    9,647.82x = 14,471.74 × 3,074
  4. Step 4: Simplify right side
    9,647.82x = 44,486,128.76
  5. Step 5: Solve for x
    x = 44,486,128.76/9,647.82
  6. Step 6: Final answer
    x = 4,611.00

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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.