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Finding the Fourth Proportional to 7,231.60, 9,968.07 and 5,903.02

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Solution

The fourth proportional to 7,231.60, 9,968.07 and 5,903.02 is: 8,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.60 : 9,968.07 = 5,903.02 : x
  2. Step 2: Convert to fraction form
    7,231.60/9,968.07 = 5,903.02/x
  3. Step 3: Cross multiply
    7,231.60x = 9,968.07 × 5,903.02
  4. Step 4: Simplify right side
    7,231.60x = 58,841,716.57
  5. Step 5: Solve for x
    x = 58,841,716.57/7,231.60
  6. Step 6: Final answer
    x = 8,136.75

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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.