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Finding the Fourth Proportional to 6,726, 10,087.08 and 2,830.32

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Solution

The fourth proportional to 6,726, 10,087.08 and 2,830.32 is: 4,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726 : 10,087.08 = 2,830.32 : x
  2. Step 2: Convert to fraction form
    6,726/10,087.08 = 2,830.32/x
  3. Step 3: Cross multiply
    6,726x = 10,087.08 × 2,830.32
  4. Step 4: Simplify right side
    6,726x = 28,549,664.27
  5. Step 5: Solve for x
    x = 28,549,664.27/6,726
  6. Step 6: Final answer
    x = 4,244.67

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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.