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Finding the Fourth Proportional to 6,874.40, 9,485.10 and 3,889.59

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Solution

The fourth proportional to 6,874.40, 9,485.10 and 3,889.59 is: 5,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.40 : 9,485.10 = 3,889.59 : x
  2. Step 2: Convert to fraction form
    6,874.40/9,485.10 = 3,889.59/x
  3. Step 3: Cross multiply
    6,874.40x = 9,485.10 × 3,889.59
  4. Step 4: Simplify right side
    6,874.40x = 36,893,114.54
  5. Step 5: Solve for x
    x = 36,893,114.54/6,874.40
  6. Step 6: Final answer
    x = 5,366.74

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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.