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Finding the Fourth Proportional to 8,003.63, 12,005.58 and 2,809.64

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Solution

The fourth proportional to 8,003.63, 12,005.58 and 2,809.64 is: 4,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.63 : 12,005.58 = 2,809.64 : x
  2. Step 2: Convert to fraction form
    8,003.63/12,005.58 = 2,809.64/x
  3. Step 3: Cross multiply
    8,003.63x = 12,005.58 × 2,809.64
  4. Step 4: Simplify right side
    8,003.63x = 33,731,398.34
  5. Step 5: Solve for x
    x = 33,731,398.34/8,003.63
  6. Step 6: Final answer
    x = 4,214.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.