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Finding the Fourth Proportional to 6,483.48, 9,729 and 2,586.84

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Solution

The fourth proportional to 6,483.48, 9,729 and 2,586.84 is: 3,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.48 : 9,729 = 2,586.84 : x
  2. Step 2: Convert to fraction form
    6,483.48/9,729 = 2,586.84/x
  3. Step 3: Cross multiply
    6,483.48x = 9,729 × 2,586.84
  4. Step 4: Simplify right side
    6,483.48x = 25,167,366.36
  5. Step 5: Solve for x
    x = 25,167,366.36/6,483.48
  6. Step 6: Final answer
    x = 3,881.77

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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.