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Finding the Fourth Proportional to 7,797.25, 10,763.73 and 4,968.50

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Solution

The fourth proportional to 7,797.25, 10,763.73 and 4,968.50 is: 6,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.25 : 10,763.73 = 4,968.50 : x
  2. Step 2: Convert to fraction form
    7,797.25/10,763.73 = 4,968.50/x
  3. Step 3: Cross multiply
    7,797.25x = 10,763.73 × 4,968.50
  4. Step 4: Simplify right side
    7,797.25x = 53,479,592.51
  5. Step 5: Solve for x
    x = 53,479,592.51/7,797.25
  6. Step 6: Final answer
    x = 6,858.78

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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.