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Finding the Fourth Proportional to 4,071.37, 6,107.07 and 993.37

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Solution

The fourth proportional to 4,071.37, 6,107.07 and 993.37 is: 1,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.37 : 6,107.07 = 993.37 : x
  2. Step 2: Convert to fraction form
    4,071.37/6,107.07 = 993.37/x
  3. Step 3: Cross multiply
    4,071.37x = 6,107.07 × 993.37
  4. Step 4: Simplify right side
    4,071.37x = 6,066,580.13
  5. Step 5: Solve for x
    x = 6,066,580.13/4,071.37
  6. Step 6: Final answer
    x = 1,490.06

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Similar ratio
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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.