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Finding the Fourth Proportional to 8,506.37, 11,738.10 and 4,729.23

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Solution

The fourth proportional to 8,506.37, 11,738.10 and 4,729.23 is: 6,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.37 : 11,738.10 = 4,729.23 : x
  2. Step 2: Convert to fraction form
    8,506.37/11,738.10 = 4,729.23/x
  3. Step 3: Cross multiply
    8,506.37x = 11,738.10 × 4,729.23
  4. Step 4: Simplify right side
    8,506.37x = 55,512,174.66
  5. Step 5: Solve for x
    x = 55,512,174.66/8,506.37
  6. Step 6: Final answer
    x = 6,525.96

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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.