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Finding the Fourth Proportional to 6,306.66, 9,460.49 and 1,924.16

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Solution

The fourth proportional to 6,306.66, 9,460.49 and 1,924.16 is: 2,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.66 : 9,460.49 = 1,924.16 : x
  2. Step 2: Convert to fraction form
    6,306.66/9,460.49 = 1,924.16/x
  3. Step 3: Cross multiply
    6,306.66x = 9,460.49 × 1,924.16
  4. Step 4: Simplify right side
    6,306.66x = 18,203,439.52
  5. Step 5: Solve for x
    x = 18,203,439.52/6,306.66
  6. Step 6: Final answer
    x = 2,886.38

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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.