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Finding the Fourth Proportional to 6,971.46, 10,438.74 and 6,566.82

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Solution

The fourth proportional to 6,971.46, 10,438.74 and 6,566.82 is: 9,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.46 : 10,438.74 = 6,566.82 : x
  2. Step 2: Convert to fraction form
    6,971.46/10,438.74 = 6,566.82/x
  3. Step 3: Cross multiply
    6,971.46x = 10,438.74 × 6,566.82
  4. Step 4: Simplify right side
    6,971.46x = 68,549,326.61
  5. Step 5: Solve for x
    x = 68,549,326.61/6,971.46
  6. Step 6: Final answer
    x = 9,832.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.