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Finding the Fourth Proportional to 9,662.36, 13,334.12 and 5,471.44

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Solution

The fourth proportional to 9,662.36, 13,334.12 and 5,471.44 is: 7,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.36 : 13,334.12 = 5,471.44 : x
  2. Step 2: Convert to fraction form
    9,662.36/13,334.12 = 5,471.44/x
  3. Step 3: Cross multiply
    9,662.36x = 13,334.12 × 5,471.44
  4. Step 4: Simplify right side
    9,662.36x = 72,956,837.53
  5. Step 5: Solve for x
    x = 72,956,837.53/9,662.36
  6. Step 6: Final answer
    x = 7,550.62

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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.