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Finding the Fourth Proportional to 11,702.76, 17,557.21 and 4,207.07

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Solution

The fourth proportional to 11,702.76, 17,557.21 and 4,207.07 is: 6,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.76 : 17,557.21 = 4,207.07 : x
  2. Step 2: Convert to fraction form
    11,702.76/17,557.21 = 4,207.07/x
  3. Step 3: Cross multiply
    11,702.76x = 17,557.21 × 4,207.07
  4. Step 4: Simplify right side
    11,702.76x = 73,864,390.44
  5. Step 5: Solve for x
    x = 73,864,390.44/11,702.76
  6. Step 6: Final answer
    x = 6,311.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.