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Finding the Fourth Proportional to 4,003, 5,996.46 and 1,995.65

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Solution

The fourth proportional to 4,003, 5,996.46 and 1,995.65 is: 2,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003 : 5,996.46 = 1,995.65 : x
  2. Step 2: Convert to fraction form
    4,003/5,996.46 = 1,995.65/x
  3. Step 3: Cross multiply
    4,003x = 5,996.46 × 1,995.65
  4. Step 4: Simplify right side
    4,003x = 11,966,835.40
  5. Step 5: Solve for x
    x = 11,966,835.40/4,003
  6. Step 6: Final answer
    x = 2,989.47

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Double scale
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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.