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Finding the Fourth Proportional to 12,082.91, 16,674.93 and 7,046.33

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Solution

The fourth proportional to 12,082.91, 16,674.93 and 7,046.33 is: 9,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.91 : 16,674.93 = 7,046.33 : x
  2. Step 2: Convert to fraction form
    12,082.91/16,674.93 = 7,046.33/x
  3. Step 3: Cross multiply
    12,082.91x = 16,674.93 × 7,046.33
  4. Step 4: Simplify right side
    12,082.91x = 117,496,976.13
  5. Step 5: Solve for x
    x = 117,496,976.13/12,082.91
  6. Step 6: Final answer
    x = 9,724.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.