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Finding the Fourth Proportional to 9,687.03, 14,471.67 and 6,148.64

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Solution

The fourth proportional to 9,687.03, 14,471.67 and 6,148.64 is: 9,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.03 : 14,471.67 = 6,148.64 : x
  2. Step 2: Convert to fraction form
    9,687.03/14,471.67 = 6,148.64/x
  3. Step 3: Cross multiply
    9,687.03x = 14,471.67 × 6,148.64
  4. Step 4: Simplify right side
    9,687.03x = 88,981,016.67
  5. Step 5: Solve for x
    x = 88,981,016.67/9,687.03
  6. Step 6: Final answer
    x = 9,185.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.