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Finding the Fourth Proportional to 9,646.71, 14,474.56 and 3,411.44

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Solution

The fourth proportional to 9,646.71, 14,474.56 and 3,411.44 is: 5,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.71 : 14,474.56 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    9,646.71/14,474.56 = 3,411.44/x
  3. Step 3: Cross multiply
    9,646.71x = 14,474.56 × 3,411.44
  4. Step 4: Simplify right side
    9,646.71x = 49,379,092.97
  5. Step 5: Solve for x
    x = 49,379,092.97/9,646.71
  6. Step 6: Final answer
    x = 5,118.75

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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.