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Finding the Fourth Proportional to 9,471.88, 14,182.96 and 6,683.44

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Solution

The fourth proportional to 9,471.88, 14,182.96 and 6,683.44 is: 10,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.88 : 14,182.96 = 6,683.44 : x
  2. Step 2: Convert to fraction form
    9,471.88/14,182.96 = 6,683.44/x
  3. Step 3: Cross multiply
    9,471.88x = 14,182.96 × 6,683.44
  4. Step 4: Simplify right side
    9,471.88x = 94,790,962.18
  5. Step 5: Solve for x
    x = 94,790,962.18/9,471.88
  6. Step 6: Final answer
    x = 10,007.62

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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.