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Finding the Fourth Proportional to 7,597.50, 11,396.43 and 2,980.50

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Solution

The fourth proportional to 7,597.50, 11,396.43 and 2,980.50 is: 4,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.50 : 11,396.43 = 2,980.50 : x
  2. Step 2: Convert to fraction form
    7,597.50/11,396.43 = 2,980.50/x
  3. Step 3: Cross multiply
    7,597.50x = 11,396.43 × 2,980.50
  4. Step 4: Simplify right side
    7,597.50x = 33,967,059.62
  5. Step 5: Solve for x
    x = 33,967,059.62/7,597.50
  6. Step 6: Final answer
    x = 4,470.82

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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.