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Finding the Fourth Proportional to 9,493.49, 13,099.99 and 5,664.42

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Solution

The fourth proportional to 9,493.49, 13,099.99 and 5,664.42 is: 7,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.49 : 13,099.99 = 5,664.42 : x
  2. Step 2: Convert to fraction form
    9,493.49/13,099.99 = 5,664.42/x
  3. Step 3: Cross multiply
    9,493.49x = 13,099.99 × 5,664.42
  4. Step 4: Simplify right side
    9,493.49x = 74,203,845.36
  5. Step 5: Solve for x
    x = 74,203,845.36/9,493.49
  6. Step 6: Final answer
    x = 7,816.29

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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.