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Finding the Fourth Proportional to 4,071.96, 6,107.90 and 993.96

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Solution

The fourth proportional to 4,071.96, 6,107.90 and 993.96 is: 1,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.96 : 6,107.90 = 993.96 : x
  2. Step 2: Convert to fraction form
    4,071.96/6,107.90 = 993.96/x
  3. Step 3: Cross multiply
    4,071.96x = 6,107.90 × 993.96
  4. Step 4: Simplify right side
    4,071.96x = 6,071,003.31
  5. Step 5: Solve for x
    x = 6,071,003.31/4,071.96
  6. Step 6: Final answer
    x = 1,490.93

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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.