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Finding the Fourth Proportional to 8,005.25, 12,009.08 and 3,844.47

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Solution

The fourth proportional to 8,005.25, 12,009.08 and 3,844.47 is: 5,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.25 : 12,009.08 = 3,844.47 : x
  2. Step 2: Convert to fraction form
    8,005.25/12,009.08 = 3,844.47/x
  3. Step 3: Cross multiply
    8,005.25x = 12,009.08 × 3,844.47
  4. Step 4: Simplify right side
    8,005.25x = 46,168,528.57
  5. Step 5: Solve for x
    x = 46,168,528.57/8,005.25
  6. Step 6: Final answer
    x = 5,767.28

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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.