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Finding the Fourth Proportional to 8,002.48, 11,043.12 and 4,645.12

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Solution

The fourth proportional to 8,002.48, 11,043.12 and 4,645.12 is: 6,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.48 : 11,043.12 = 4,645.12 : x
  2. Step 2: Convert to fraction form
    8,002.48/11,043.12 = 4,645.12/x
  3. Step 3: Cross multiply
    8,002.48x = 11,043.12 × 4,645.12
  4. Step 4: Simplify right side
    8,002.48x = 51,296,617.57
  5. Step 5: Solve for x
    x = 51,296,617.57/8,002.48
  6. Step 6: Final answer
    x = 6,410.09

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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.