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Finding the Fourth Proportional to 9,583.48, 14,375.21 and 2,657.98

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Solution

The fourth proportional to 9,583.48, 14,375.21 and 2,657.98 is: 3,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.48 : 14,375.21 = 2,657.98 : x
  2. Step 2: Convert to fraction form
    9,583.48/14,375.21 = 2,657.98/x
  3. Step 3: Cross multiply
    9,583.48x = 14,375.21 × 2,657.98
  4. Step 4: Simplify right side
    9,583.48x = 38,208,971.45
  5. Step 5: Solve for x
    x = 38,208,971.45/9,583.48
  6. Step 6: Final answer
    x = 3,986.96

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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.