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Finding the Fourth Proportional to 6,582.06, 9,876.15 and 2,883.81

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Solution

The fourth proportional to 6,582.06, 9,876.15 and 2,883.81 is: 4,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.06 : 9,876.15 = 2,883.81 : x
  2. Step 2: Convert to fraction form
    6,582.06/9,876.15 = 2,883.81/x
  3. Step 3: Cross multiply
    6,582.06x = 9,876.15 × 2,883.81
  4. Step 4: Simplify right side
    6,582.06x = 28,480,940.13
  5. Step 5: Solve for x
    x = 28,480,940.13/6,582.06
  6. Step 6: Final answer
    x = 4,327.06

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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.