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Finding the Fourth Proportional to 6,845.93, 9,447.39 and 3,702.12

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Solution

The fourth proportional to 6,845.93, 9,447.39 and 3,702.12 is: 5,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.93 : 9,447.39 = 3,702.12 : x
  2. Step 2: Convert to fraction form
    6,845.93/9,447.39 = 3,702.12/x
  3. Step 3: Cross multiply
    6,845.93x = 9,447.39 × 3,702.12
  4. Step 4: Simplify right side
    6,845.93x = 34,975,305.72
  5. Step 5: Solve for x
    x = 34,975,305.72/6,845.93
  6. Step 6: Final answer
    x = 5,108.92

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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.