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Finding the Fourth Proportional to 7,954.00, 10,977.73 and 5,723.26

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Solution

The fourth proportional to 7,954.00, 10,977.73 and 5,723.26 is: 7,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.00 : 10,977.73 = 5,723.26 : x
  2. Step 2: Convert to fraction form
    7,954.00/10,977.73 = 5,723.26/x
  3. Step 3: Cross multiply
    7,954.00x = 10,977.73 × 5,723.26
  4. Step 4: Simplify right side
    7,954.00x = 62,828,361.25
  5. Step 5: Solve for x
    x = 62,828,361.25/7,954.00
  6. Step 6: Final answer
    x = 7,898.97

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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.