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Finding the Fourth Proportional to 6,078.54, 9,118.32 and 1,696.00

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Solution

The fourth proportional to 6,078.54, 9,118.32 and 1,696.00 is: 2,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.54 : 9,118.32 = 1,696.00 : x
  2. Step 2: Convert to fraction form
    6,078.54/9,118.32 = 1,696.00/x
  3. Step 3: Cross multiply
    6,078.54x = 9,118.32 × 1,696.00
  4. Step 4: Simplify right side
    6,078.54x = 15,464,625.13
  5. Step 5: Solve for x
    x = 15,464,625.13/6,078.54
  6. Step 6: Final answer
    x = 2,544.13

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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.