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Finding the Fourth Proportional to 25,054.50, 37,583.97 and 6,586.50

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Solution

The fourth proportional to 25,054.50, 37,583.97 and 6,586.50 is: 9,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.50 : 37,583.97 = 6,586.50 : x
  2. Step 2: Convert to fraction form
    25,054.50/37,583.97 = 6,586.50/x
  3. Step 3: Cross multiply
    25,054.50x = 37,583.97 × 6,586.50
  4. Step 4: Simplify right side
    25,054.50x = 247,546,818.41
  5. Step 5: Solve for x
    x = 247,546,818.41/25,054.50
  6. Step 6: Final answer
    x = 9,880.33

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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.