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Finding the Fourth Proportional to 9,850.81, 13,593.85 and 5,374.56

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Solution

The fourth proportional to 9,850.81, 13,593.85 and 5,374.56 is: 7,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.81 : 13,593.85 = 5,374.56 : x
  2. Step 2: Convert to fraction form
    9,850.81/13,593.85 = 5,374.56/x
  3. Step 3: Cross multiply
    9,850.81x = 13,593.85 × 5,374.56
  4. Step 4: Simplify right side
    9,850.81x = 73,060,919.53
  5. Step 5: Solve for x
    x = 73,060,919.53/9,850.81
  6. Step 6: Final answer
    x = 7,416.74

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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.