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Finding the Fourth Proportional to 6,820.70, 9,406.95 and 4,023.50

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Solution

The fourth proportional to 6,820.70, 9,406.95 and 4,023.50 is: 5,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.70 : 9,406.95 = 4,023.50 : x
  2. Step 2: Convert to fraction form
    6,820.70/9,406.95 = 4,023.50/x
  3. Step 3: Cross multiply
    6,820.70x = 9,406.95 × 4,023.50
  4. Step 4: Simplify right side
    6,820.70x = 37,848,863.33
  5. Step 5: Solve for x
    x = 37,848,863.33/6,820.70
  6. Step 6: Final answer
    x = 5,549.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.