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Finding the Fourth Proportional to 7,136.51, 9,847.98 and 3,992.90

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Solution

The fourth proportional to 7,136.51, 9,847.98 and 3,992.90 is: 5,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.51 : 9,847.98 = 3,992.90 : x
  2. Step 2: Convert to fraction form
    7,136.51/9,847.98 = 3,992.90/x
  3. Step 3: Cross multiply
    7,136.51x = 9,847.98 × 3,992.90
  4. Step 4: Simplify right side
    7,136.51x = 39,321,950.10
  5. Step 5: Solve for x
    x = 39,321,950.10/7,136.51
  6. Step 6: Final answer
    x = 5,509.97

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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.