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Finding the Fourth Proportional to 6,298.36, 9,446.82 and 1,681

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Solution

The fourth proportional to 6,298.36, 9,446.82 and 1,681 is: 2,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.36 : 9,446.82 = 1,681 : x
  2. Step 2: Convert to fraction form
    6,298.36/9,446.82 = 1,681/x
  3. Step 3: Cross multiply
    6,298.36x = 9,446.82 × 1,681
  4. Step 4: Simplify right side
    6,298.36x = 15,880,104.42
  5. Step 5: Solve for x
    x = 15,880,104.42/6,298.36
  6. Step 6: Final answer
    x = 2,521.31

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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.