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Finding the Fourth Proportional to 10,506.94, 14,505.51 and 6,974.98

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Solution

The fourth proportional to 10,506.94, 14,505.51 and 6,974.98 is: 9,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.94 : 14,505.51 = 6,974.98 : x
  2. Step 2: Convert to fraction form
    10,506.94/14,505.51 = 6,974.98/x
  3. Step 3: Cross multiply
    10,506.94x = 14,505.51 × 6,974.98
  4. Step 4: Simplify right side
    10,506.94x = 101,175,642.14
  5. Step 5: Solve for x
    x = 101,175,642.14/10,506.94
  6. Step 6: Final answer
    x = 9,629.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.