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Finding the Fourth Proportional to 6,996.90, 10,495.32 and 6,646.53

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Solution

The fourth proportional to 6,996.90, 10,495.32 and 6,646.53 is: 9,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.90 : 10,495.32 = 6,646.53 : x
  2. Step 2: Convert to fraction form
    6,996.90/10,495.32 = 6,646.53/x
  3. Step 3: Cross multiply
    6,996.90x = 10,495.32 × 6,646.53
  4. Step 4: Simplify right side
    6,996.90x = 69,757,459.24
  5. Step 5: Solve for x
    x = 69,757,459.24/6,996.90
  6. Step 6: Final answer
    x = 9,969.77

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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.