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Finding the Fourth Proportional to 8,309.68, 11,466.84 and 4,583.68

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Solution

The fourth proportional to 8,309.68, 11,466.84 and 4,583.68 is: 6,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.68 : 11,466.84 = 4,583.68 : x
  2. Step 2: Convert to fraction form
    8,309.68/11,466.84 = 4,583.68/x
  3. Step 3: Cross multiply
    8,309.68x = 11,466.84 × 4,583.68
  4. Step 4: Simplify right side
    8,309.68x = 52,560,325.17
  5. Step 5: Solve for x
    x = 52,560,325.17/8,309.68
  6. Step 6: Final answer
    x = 6,325.19

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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.