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Finding the Fourth Proportional to 6,840.50, 10,256.63 and 4,642.56

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Solution

The fourth proportional to 6,840.50, 10,256.63 and 4,642.56 is: 6,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.50 : 10,256.63 = 4,642.56 : x
  2. Step 2: Convert to fraction form
    6,840.50/10,256.63 = 4,642.56/x
  3. Step 3: Cross multiply
    6,840.50x = 10,256.63 × 4,642.56
  4. Step 4: Simplify right side
    6,840.50x = 47,616,996.96
  5. Step 5: Solve for x
    x = 47,616,996.96/6,840.50
  6. Step 6: Final answer
    x = 6,961.05

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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.