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Finding the Fourth Proportional to 6,581.94, 9,877.02 and 2,632.60

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Solution

The fourth proportional to 6,581.94, 9,877.02 and 2,632.60 is: 3,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.94 : 9,877.02 = 2,632.60 : x
  2. Step 2: Convert to fraction form
    6,581.94/9,877.02 = 2,632.60/x
  3. Step 3: Cross multiply
    6,581.94x = 9,877.02 × 2,632.60
  4. Step 4: Simplify right side
    6,581.94x = 26,002,242.85
  5. Step 5: Solve for x
    x = 26,002,242.85/6,581.94
  6. Step 6: Final answer
    x = 3,950.54

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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.