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Finding the Fourth Proportional to 6,886.92, 9,504.10 and 3,743.32

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Solution

The fourth proportional to 6,886.92, 9,504.10 and 3,743.32 is: 5,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.92 : 9,504.10 = 3,743.32 : x
  2. Step 2: Convert to fraction form
    6,886.92/9,504.10 = 3,743.32/x
  3. Step 3: Cross multiply
    6,886.92x = 9,504.10 × 3,743.32
  4. Step 4: Simplify right side
    6,886.92x = 35,576,887.61
  5. Step 5: Solve for x
    x = 35,576,887.61/6,886.92
  6. Step 6: Final answer
    x = 5,165.86

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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.