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Finding the Fourth Proportional to 6,582.93, 9,881.22 and 4,406.86

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Solution

The fourth proportional to 6,582.93, 9,881.22 and 4,406.86 is: 6,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.93 : 9,881.22 = 4,406.86 : x
  2. Step 2: Convert to fraction form
    6,582.93/9,881.22 = 4,406.86/x
  3. Step 3: Cross multiply
    6,582.93x = 9,881.22 × 4,406.86
  4. Step 4: Simplify right side
    6,582.93x = 43,545,153.17
  5. Step 5: Solve for x
    x = 43,545,153.17/6,582.93
  6. Step 6: Final answer
    x = 6,614.86

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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.