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Finding the Fourth Proportional to 8,309.80, 11,467.44 and 4,583.80

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Solution

The fourth proportional to 8,309.80, 11,467.44 and 4,583.80 is: 6,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.80 : 11,467.44 = 4,583.80 : x
  2. Step 2: Convert to fraction form
    8,309.80/11,467.44 = 4,583.80/x
  3. Step 3: Cross multiply
    8,309.80x = 11,467.44 × 4,583.80
  4. Step 4: Simplify right side
    8,309.80x = 52,564,451.47
  5. Step 5: Solve for x
    x = 52,564,451.47/8,309.80
  6. Step 6: Final answer
    x = 6,325.60

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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.