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Finding the Fourth Proportional to 9,664.74, 14,504.49 and 6,853.32

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Solution

The fourth proportional to 9,664.74, 14,504.49 and 6,853.32 is: 10,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.74 : 14,504.49 = 6,853.32 : x
  2. Step 2: Convert to fraction form
    9,664.74/14,504.49 = 6,853.32/x
  3. Step 3: Cross multiply
    9,664.74x = 14,504.49 × 6,853.32
  4. Step 4: Simplify right side
    9,664.74x = 99,403,911.41
  5. Step 5: Solve for x
    x = 99,403,911.41/9,664.74
  6. Step 6: Final answer
    x = 10,285.21

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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.