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Finding the Fourth Proportional to 6,887.54, 9,504.75 and 3,743.72

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Solution

The fourth proportional to 6,887.54, 9,504.75 and 3,743.72 is: 5,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.54 : 9,504.75 = 3,743.72 : x
  2. Step 2: Convert to fraction form
    6,887.54/9,504.75 = 3,743.72/x
  3. Step 3: Cross multiply
    6,887.54x = 9,504.75 × 3,743.72
  4. Step 4: Simplify right side
    6,887.54x = 35,583,122.67
  5. Step 5: Solve for x
    x = 35,583,122.67/6,887.54
  6. Step 6: Final answer
    x = 5,166.30

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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.