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Finding the Fourth Proportional to 7,136.54, 9,848.36 and 3,992.75

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Solution

The fourth proportional to 7,136.54, 9,848.36 and 3,992.75 is: 5,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.54 : 9,848.36 = 3,992.75 : x
  2. Step 2: Convert to fraction form
    7,136.54/9,848.36 = 3,992.75/x
  3. Step 3: Cross multiply
    7,136.54x = 9,848.36 × 3,992.75
  4. Step 4: Simplify right side
    7,136.54x = 39,322,019.43
  5. Step 5: Solve for x
    x = 39,322,019.43/7,136.54
  6. Step 6: Final answer
    x = 5,509.96

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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.