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Finding the Fourth Proportional to 6,971.30, 10,457.01 and 1,777.17

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Solution

The fourth proportional to 6,971.30, 10,457.01 and 1,777.17 is: 2,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.30 : 10,457.01 = 1,777.17 : x
  2. Step 2: Convert to fraction form
    6,971.30/10,457.01 = 1,777.17/x
  3. Step 3: Cross multiply
    6,971.30x = 10,457.01 × 1,777.17
  4. Step 4: Simplify right side
    6,971.30x = 18,583,884.46
  5. Step 5: Solve for x
    x = 18,583,884.46/6,971.30
  6. Step 6: Final answer
    x = 2,665.77

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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.