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Finding the Fourth Proportional to 6,298.50, 9,448.14 and 1,916.28

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Solution

The fourth proportional to 6,298.50, 9,448.14 and 1,916.28 is: 2,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.50 : 9,448.14 = 1,916.28 : x
  2. Step 2: Convert to fraction form
    6,298.50/9,448.14 = 1,916.28/x
  3. Step 3: Cross multiply
    6,298.50x = 9,448.14 × 1,916.28
  4. Step 4: Simplify right side
    6,298.50x = 18,105,281.72
  5. Step 5: Solve for x
    x = 18,105,281.72/6,298.50
  6. Step 6: Final answer
    x = 2,874.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.