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Finding the Fourth Proportional to 6,473.07, 9,710.10 and 2,093.67

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Solution

The fourth proportional to 6,473.07, 9,710.10 and 2,093.67 is: 3,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.07 : 9,710.10 = 2,093.67 : x
  2. Step 2: Convert to fraction form
    6,473.07/9,710.10 = 2,093.67/x
  3. Step 3: Cross multiply
    6,473.07x = 9,710.10 × 2,093.67
  4. Step 4: Simplify right side
    6,473.07x = 20,329,745.07
  5. Step 5: Solve for x
    x = 20,329,745.07/6,473.07
  6. Step 6: Final answer
    x = 3,140.67

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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.