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Finding the Fourth Proportional to 4,696.97, 7,046.15 and 1,409.67

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Solution

The fourth proportional to 4,696.97, 7,046.15 and 1,409.67 is: 2,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.97 : 7,046.15 = 1,409.67 : x
  2. Step 2: Convert to fraction form
    4,696.97/7,046.15 = 1,409.67/x
  3. Step 3: Cross multiply
    4,696.97x = 7,046.15 × 1,409.67
  4. Step 4: Simplify right side
    4,696.97x = 9,932,739.22
  5. Step 5: Solve for x
    x = 9,932,739.22/4,696.97
  6. Step 6: Final answer
    x = 2,114.71

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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.