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Finding the Fourth Proportional to 5,093.51, 7,640.27 and 1,395.77

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Solution

The fourth proportional to 5,093.51, 7,640.27 and 1,395.77 is: 2,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.51 : 7,640.27 = 1,395.77 : x
  2. Step 2: Convert to fraction form
    5,093.51/7,640.27 = 1,395.77/x
  3. Step 3: Cross multiply
    5,093.51x = 7,640.27 × 1,395.77
  4. Step 4: Simplify right side
    5,093.51x = 10,664,059.66
  5. Step 5: Solve for x
    x = 10,664,059.66/5,093.51
  6. Step 6: Final answer
    x = 2,093.66

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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.