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Finding the Fourth Proportional to 7,268.70, 10,902.93 and 3,164.70

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Solution

The fourth proportional to 7,268.70, 10,902.93 and 3,164.70 is: 4,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.70 : 10,902.93 = 3,164.70 : x
  2. Step 2: Convert to fraction form
    7,268.70/10,902.93 = 3,164.70/x
  3. Step 3: Cross multiply
    7,268.70x = 10,902.93 × 3,164.70
  4. Step 4: Simplify right side
    7,268.70x = 34,504,502.57
  5. Step 5: Solve for x
    x = 34,504,502.57/7,268.70
  6. Step 6: Final answer
    x = 4,747.00

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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.