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Finding the Fourth Proportional to 7,743.94, 11,611.05 and 5,636.32

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Solution

The fourth proportional to 7,743.94, 11,611.05 and 5,636.32 is: 8,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.94 : 11,611.05 = 5,636.32 : x
  2. Step 2: Convert to fraction form
    7,743.94/11,611.05 = 5,636.32/x
  3. Step 3: Cross multiply
    7,743.94x = 11,611.05 × 5,636.32
  4. Step 4: Simplify right side
    7,743.94x = 65,443,543.17
  5. Step 5: Solve for x
    x = 65,443,543.17/7,743.94
  6. Step 6: Final answer
    x = 8,450.94

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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.