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Finding the Fourth Proportional to 6,971.40, 10,438.80 and 6,566.82

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Solution

The fourth proportional to 6,971.40, 10,438.80 and 6,566.82 is: 9,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.40 : 10,438.80 = 6,566.82 : x
  2. Step 2: Convert to fraction form
    6,971.40/10,438.80 = 6,566.82/x
  3. Step 3: Cross multiply
    6,971.40x = 10,438.80 × 6,566.82
  4. Step 4: Simplify right side
    6,971.40x = 68,549,720.62
  5. Step 5: Solve for x
    x = 68,549,720.62/6,971.40
  6. Step 6: Final answer
    x = 9,832.99

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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.