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Finding the Fourth Proportional to 3,263.13, 4,894.67 and 797.93

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Solution

The fourth proportional to 3,263.13, 4,894.67 and 797.93 is: 1,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.13 : 4,894.67 = 797.93 : x
  2. Step 2: Convert to fraction form
    3,263.13/4,894.67 = 797.93/x
  3. Step 3: Cross multiply
    3,263.13x = 4,894.67 × 797.93
  4. Step 4: Simplify right side
    3,263.13x = 3,905,579.56
  5. Step 5: Solve for x
    x = 3,905,579.56/3,263.13
  6. Step 6: Final answer
    x = 1,196.88

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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.