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Finding the Fourth Proportional to 8,964.71, 13,449.80 and 4,585.24

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Solution

The fourth proportional to 8,964.71, 13,449.80 and 4,585.24 is: 6,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.71 : 13,449.80 = 4,585.24 : x
  2. Step 2: Convert to fraction form
    8,964.71/13,449.80 = 4,585.24/x
  3. Step 3: Cross multiply
    8,964.71x = 13,449.80 × 4,585.24
  4. Step 4: Simplify right side
    8,964.71x = 61,670,563.44
  5. Step 5: Solve for x
    x = 61,670,563.44/8,964.71
  6. Step 6: Final answer
    x = 6,879.26

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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.