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Finding the Fourth Proportional to 6,306.66, 9,461.37 and 1,924.01

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Solution

The fourth proportional to 6,306.66, 9,461.37 and 1,924.01 is: 2,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.66 : 9,461.37 = 1,924.01 : x
  2. Step 2: Convert to fraction form
    6,306.66/9,461.37 = 1,924.01/x
  3. Step 3: Cross multiply
    6,306.66x = 9,461.37 × 1,924.01
  4. Step 4: Simplify right side
    6,306.66x = 18,203,770.49
  5. Step 5: Solve for x
    x = 18,203,770.49/6,306.66
  6. Step 6: Final answer
    x = 2,886.44

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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.