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Finding the Fourth Proportional to 8,309.72, 11,467.41 and 4,583.72

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Solution

The fourth proportional to 8,309.72, 11,467.41 and 4,583.72 is: 6,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.72 : 11,467.41 = 4,583.72 : x
  2. Step 2: Convert to fraction form
    8,309.72/11,467.41 = 4,583.72/x
  3. Step 3: Cross multiply
    8,309.72x = 11,467.41 × 4,583.72
  4. Step 4: Simplify right side
    8,309.72x = 52,563,339.23
  5. Step 5: Solve for x
    x = 52,563,339.23/8,309.72
  6. Step 6: Final answer
    x = 6,325.53

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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.