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Finding the Fourth Proportional to 6,391.02, 9,586.44 and 2,008.50

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Solution

The fourth proportional to 6,391.02, 9,586.44 and 2,008.50 is: 3,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.02 : 9,586.44 = 2,008.50 : x
  2. Step 2: Convert to fraction form
    6,391.02/9,586.44 = 2,008.50/x
  3. Step 3: Cross multiply
    6,391.02x = 9,586.44 × 2,008.50
  4. Step 4: Simplify right side
    6,391.02x = 19,254,364.74
  5. Step 5: Solve for x
    x = 19,254,364.74/6,391.02
  6. Step 6: Final answer
    x = 3,012.72

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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.