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Finding the Fourth Proportional to 7,771.94, 11,657.60 and 2,225.06

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Solution

The fourth proportional to 7,771.94, 11,657.60 and 2,225.06 is: 3,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.94 : 11,657.60 = 2,225.06 : x
  2. Step 2: Convert to fraction form
    7,771.94/11,657.60 = 2,225.06/x
  3. Step 3: Cross multiply
    7,771.94x = 11,657.60 × 2,225.06
  4. Step 4: Simplify right side
    7,771.94x = 25,938,859.46
  5. Step 5: Solve for x
    x = 25,938,859.46/7,771.94
  6. Step 6: Final answer
    x = 3,337.50

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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.