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Finding the Fourth Proportional to 12,102.99, 16,702.97 and 6,797.81

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Solution

The fourth proportional to 12,102.99, 16,702.97 and 6,797.81 is: 9,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.99 : 16,702.97 = 6,797.81 : x
  2. Step 2: Convert to fraction form
    12,102.99/16,702.97 = 6,797.81/x
  3. Step 3: Cross multiply
    12,102.99x = 16,702.97 × 6,797.81
  4. Step 4: Simplify right side
    12,102.99x = 113,543,498.99
  5. Step 5: Solve for x
    x = 113,543,498.99/12,102.99
  6. Step 6: Final answer
    x = 9,381.44

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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.