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Finding the Fourth Proportional to 8,466.63, 11,673.12 and 5,809.43

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Solution

The fourth proportional to 8,466.63, 11,673.12 and 5,809.43 is: 8,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.63 : 11,673.12 = 5,809.43 : x
  2. Step 2: Convert to fraction form
    8,466.63/11,673.12 = 5,809.43/x
  3. Step 3: Cross multiply
    8,466.63x = 11,673.12 × 5,809.43
  4. Step 4: Simplify right side
    8,466.63x = 67,814,115.16
  5. Step 5: Solve for x
    x = 67,814,115.16/8,466.63
  6. Step 6: Final answer
    x = 8,009.58

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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.