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Finding the Fourth Proportional to 4,071.31, 6,106.98 and 993.31

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Solution

The fourth proportional to 4,071.31, 6,106.98 and 993.31 is: 1,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.31 : 6,106.98 = 993.31 : x
  2. Step 2: Convert to fraction form
    4,071.31/6,106.98 = 993.31/x
  3. Step 3: Cross multiply
    4,071.31x = 6,106.98 × 993.31
  4. Step 4: Simplify right side
    4,071.31x = 6,066,124.30
  5. Step 5: Solve for x
    x = 6,066,124.30/4,071.31
  6. Step 6: Final answer
    x = 1,489.97

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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.