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Finding the Fourth Proportional to 11,702.00, 16,149.01 and 6,396.81

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Solution

The fourth proportional to 11,702.00, 16,149.01 and 6,396.81 is: 8,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.00 : 16,149.01 = 6,396.81 : x
  2. Step 2: Convert to fraction form
    11,702.00/16,149.01 = 6,396.81/x
  3. Step 3: Cross multiply
    11,702.00x = 16,149.01 × 6,396.81
  4. Step 4: Simplify right side
    11,702.00x = 103,302,148.66
  5. Step 5: Solve for x
    x = 103,302,148.66/11,702.00
  6. Step 6: Final answer
    x = 8,827.74

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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.