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Finding the Fourth Proportional to 9,662.71, 14,494.09 and 3,089.43

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Solution

The fourth proportional to 9,662.71, 14,494.09 and 3,089.43 is: 4,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.71 : 14,494.09 = 3,089.43 : x
  2. Step 2: Convert to fraction form
    9,662.71/14,494.09 = 3,089.43/x
  3. Step 3: Cross multiply
    9,662.71x = 14,494.09 × 3,089.43
  4. Step 4: Simplify right side
    9,662.71x = 44,778,476.47
  5. Step 5: Solve for x
    x = 44,778,476.47/9,662.71
  6. Step 6: Final answer
    x = 4,634.15

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1.5x scale

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.