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Finding the Fourth Proportional to 12,305.94, 16,983.99 and 7,002.06

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Solution

The fourth proportional to 12,305.94, 16,983.99 and 7,002.06 is: 9,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.94 : 16,983.99 = 7,002.06 : x
  2. Step 2: Convert to fraction form
    12,305.94/16,983.99 = 7,002.06/x
  3. Step 3: Cross multiply
    12,305.94x = 16,983.99 × 7,002.06
  4. Step 4: Simplify right side
    12,305.94x = 118,922,917.02
  5. Step 5: Solve for x
    x = 118,922,917.02/12,305.94
  6. Step 6: Final answer
    x = 9,663.86

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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.