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Finding the Fourth Proportional to 12,029.81, 16,600.64 and 6,993.81

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Solution

The fourth proportional to 12,029.81, 16,600.64 and 6,993.81 is: 9,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.81 : 16,600.64 = 6,993.81 : x
  2. Step 2: Convert to fraction form
    12,029.81/16,600.64 = 6,993.81/x
  3. Step 3: Cross multiply
    12,029.81x = 16,600.64 × 6,993.81
  4. Step 4: Simplify right side
    12,029.81x = 116,101,687.07
  5. Step 5: Solve for x
    x = 116,101,687.07/12,029.81
  6. Step 6: Final answer
    x = 9,651.17

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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.