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Finding the Fourth Proportional to 6,427.24, 8,858.02 and 4,851.56

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Solution

The fourth proportional to 6,427.24, 8,858.02 and 4,851.56 is: 6,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.24 : 8,858.02 = 4,851.56 : x
  2. Step 2: Convert to fraction form
    6,427.24/8,858.02 = 4,851.56/x
  3. Step 3: Cross multiply
    6,427.24x = 8,858.02 × 4,851.56
  4. Step 4: Simplify right side
    6,427.24x = 42,975,215.51
  5. Step 5: Solve for x
    x = 42,975,215.51/6,427.24
  6. Step 6: Final answer
    x = 6,686.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.