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Finding the Fourth Proportional to 6,560.35, 9,840.44 and 1,880.46

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Solution

The fourth proportional to 6,560.35, 9,840.44 and 1,880.46 is: 2,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.35 : 9,840.44 = 1,880.46 : x
  2. Step 2: Convert to fraction form
    6,560.35/9,840.44 = 1,880.46/x
  3. Step 3: Cross multiply
    6,560.35x = 9,840.44 × 1,880.46
  4. Step 4: Simplify right side
    6,560.35x = 18,504,558.50
  5. Step 5: Solve for x
    x = 18,504,558.50/6,560.35
  6. Step 6: Final answer
    x = 2,820.67

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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.