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Finding the Fourth Proportional to 6,299, 9,448.90 and 1,916.78

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Solution

The fourth proportional to 6,299, 9,448.90 and 1,916.78 is: 2,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299 : 9,448.90 = 1,916.78 : x
  2. Step 2: Convert to fraction form
    6,299/9,448.90 = 1,916.78/x
  3. Step 3: Cross multiply
    6,299x = 9,448.90 × 1,916.78
  4. Step 4: Simplify right side
    6,299x = 18,111,462.54
  5. Step 5: Solve for x
    x = 18,111,462.54/6,299
  6. Step 6: Final answer
    x = 2,875.29

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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.