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Finding the Fourth Proportional to 5,196.74, 7,797.74 and 2,275.07

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Solution

The fourth proportional to 5,196.74, 7,797.74 and 2,275.07 is: 3,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.74 : 7,797.74 = 2,275.07 : x
  2. Step 2: Convert to fraction form
    5,196.74/7,797.74 = 2,275.07/x
  3. Step 3: Cross multiply
    5,196.74x = 7,797.74 × 2,275.07
  4. Step 4: Simplify right side
    5,196.74x = 17,740,353.98
  5. Step 5: Solve for x
    x = 17,740,353.98/5,196.74
  6. Step 6: Final answer
    x = 3,413.75

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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.