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Finding the Fourth Proportional to 6,277.70, 9,427.35 and 4,441.70

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Solution

The fourth proportional to 6,277.70, 9,427.35 and 4,441.70 is: 6,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.70 : 9,427.35 = 4,441.70 : x
  2. Step 2: Convert to fraction form
    6,277.70/9,427.35 = 4,441.70/x
  3. Step 3: Cross multiply
    6,277.70x = 9,427.35 × 4,441.70
  4. Step 4: Simplify right side
    6,277.70x = 41,873,460.50
  5. Step 5: Solve for x
    x = 41,873,460.50/6,277.70
  6. Step 6: Final answer
    x = 6,670.19

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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.