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Finding the Fourth Proportional to 4,968.99, 7,453.47 and 1,271.22

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Solution

The fourth proportional to 4,968.99, 7,453.47 and 1,271.22 is: 1,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.99 : 7,453.47 = 1,271.22 : x
  2. Step 2: Convert to fraction form
    4,968.99/7,453.47 = 1,271.22/x
  3. Step 3: Cross multiply
    4,968.99x = 7,453.47 × 1,271.22
  4. Step 4: Simplify right side
    4,968.99x = 9,475,000.13
  5. Step 5: Solve for x
    x = 9,475,000.13/4,968.99
  6. Step 6: Final answer
    x = 1,906.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.