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Finding the Fourth Proportional to 6,298.53, 9,449.15 and 1,916.34

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Solution

The fourth proportional to 6,298.53, 9,449.15 and 1,916.34 is: 2,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.53 : 9,449.15 = 1,916.34 : x
  2. Step 2: Convert to fraction form
    6,298.53/9,449.15 = 1,916.34/x
  3. Step 3: Cross multiply
    6,298.53x = 9,449.15 × 1,916.34
  4. Step 4: Simplify right side
    6,298.53x = 18,107,784.11
  5. Step 5: Solve for x
    x = 18,107,784.11/6,298.53
  6. Step 6: Final answer
    x = 2,874.92

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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.