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Finding the Fourth Proportional to 6,955.46, 10,435.86 and 2,796.67

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Solution

The fourth proportional to 6,955.46, 10,435.86 and 2,796.67 is: 4,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.46 : 10,435.86 = 2,796.67 : x
  2. Step 2: Convert to fraction form
    6,955.46/10,435.86 = 2,796.67/x
  3. Step 3: Cross multiply
    6,955.46x = 10,435.86 × 2,796.67
  4. Step 4: Simplify right side
    6,955.46x = 29,185,630.50
  5. Step 5: Solve for x
    x = 29,185,630.50/6,955.46
  6. Step 6: Final answer
    x = 4,196.07

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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.