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Finding the Fourth Proportional to 6,968.34, 10,490.52 and 6,355.98

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Solution

The fourth proportional to 6,968.34, 10,490.52 and 6,355.98 is: 9,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.34 : 10,490.52 = 6,355.98 : x
  2. Step 2: Convert to fraction form
    6,968.34/10,490.52 = 6,355.98/x
  3. Step 3: Cross multiply
    6,968.34x = 10,490.52 × 6,355.98
  4. Step 4: Simplify right side
    6,968.34x = 66,677,535.31
  5. Step 5: Solve for x
    x = 66,677,535.31/6,968.34
  6. Step 6: Final answer
    x = 9,568.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.