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Finding the Fourth Proportional to 6,585.63, 9,863.85 and 4,731.20

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Solution

The fourth proportional to 6,585.63, 9,863.85 and 4,731.20 is: 7,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.63 : 9,863.85 = 4,731.20 : x
  2. Step 2: Convert to fraction form
    6,585.63/9,863.85 = 4,731.20/x
  3. Step 3: Cross multiply
    6,585.63x = 9,863.85 × 4,731.20
  4. Step 4: Simplify right side
    6,585.63x = 46,667,797.80
  5. Step 5: Solve for x
    x = 46,667,797.80/6,585.63
  6. Step 6: Final answer
    x = 7,086.31

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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.