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Finding the Fourth Proportional to 6,691.64, 9,234.94 and 4,038.90

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Solution

The fourth proportional to 6,691.64, 9,234.94 and 4,038.90 is: 5,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.64 : 9,234.94 = 4,038.90 : x
  2. Step 2: Convert to fraction form
    6,691.64/9,234.94 = 4,038.90/x
  3. Step 3: Cross multiply
    6,691.64x = 9,234.94 × 4,038.90
  4. Step 4: Simplify right side
    6,691.64x = 37,298,999.17
  5. Step 5: Solve for x
    x = 37,298,999.17/6,691.64
  6. Step 6: Final answer
    x = 5,573.97

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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.