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Finding the Fourth Proportional to 6,980.96, 10,472 and 2,364

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Solution

The fourth proportional to 6,980.96, 10,472 and 2,364 is: 3,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.96 : 10,472 = 2,364 : x
  2. Step 2: Convert to fraction form
    6,980.96/10,472 = 2,364/x
  3. Step 3: Cross multiply
    6,980.96x = 10,472 × 2,364
  4. Step 4: Simplify right side
    6,980.96x = 24,755,808
  5. Step 5: Solve for x
    x = 24,755,808/6,980.96
  6. Step 6: Final answer
    x = 3,546.19

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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.