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Finding the Fourth Proportional to 6,887.45, 9,504.74 and 3,743.64

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Solution

The fourth proportional to 6,887.45, 9,504.74 and 3,743.64 is: 5,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.45 : 9,504.74 = 3,743.64 : x
  2. Step 2: Convert to fraction form
    6,887.45/9,504.74 = 3,743.64/x
  3. Step 3: Cross multiply
    6,887.45x = 9,504.74 × 3,743.64
  4. Step 4: Simplify right side
    6,887.45x = 35,582,334.21
  5. Step 5: Solve for x
    x = 35,582,334.21/6,887.45
  6. Step 6: Final answer
    x = 5,166.25

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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.