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Finding the Fourth Proportional to 9,736.68, 14,605.06 and 5,351.74

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Solution

The fourth proportional to 9,736.68, 14,605.06 and 5,351.74 is: 8,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.68 : 14,605.06 = 5,351.74 : x
  2. Step 2: Convert to fraction form
    9,736.68/14,605.06 = 5,351.74/x
  3. Step 3: Cross multiply
    9,736.68x = 14,605.06 × 5,351.74
  4. Step 4: Simplify right side
    9,736.68x = 78,162,483.80
  5. Step 5: Solve for x
    x = 78,162,483.80/9,736.68
  6. Step 6: Final answer
    x = 8,027.63

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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.