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Finding the Fourth Proportional to 6,675.14, 10,009.64 and 3,902.67

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Solution

The fourth proportional to 6,675.14, 10,009.64 and 3,902.67 is: 5,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.14 : 10,009.64 = 3,902.67 : x
  2. Step 2: Convert to fraction form
    6,675.14/10,009.64 = 3,902.67/x
  3. Step 3: Cross multiply
    6,675.14x = 10,009.64 × 3,902.67
  4. Step 4: Simplify right side
    6,675.14x = 39,064,331.50
  5. Step 5: Solve for x
    x = 39,064,331.50/6,675.14
  6. Step 6: Final answer
    x = 5,852.21

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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.