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Finding the Fourth Proportional to 6,587.16, 9,879.03 and 1,906.08

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Solution

The fourth proportional to 6,587.16, 9,879.03 and 1,906.08 is: 2,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.16 : 9,879.03 = 1,906.08 : x
  2. Step 2: Convert to fraction form
    6,587.16/9,879.03 = 1,906.08/x
  3. Step 3: Cross multiply
    6,587.16x = 9,879.03 × 1,906.08
  4. Step 4: Simplify right side
    6,587.16x = 18,830,221.50
  5. Step 5: Solve for x
    x = 18,830,221.50/6,587.16
  6. Step 6: Final answer
    x = 2,858.63

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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.