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Finding the Fourth Proportional to 6,254.44, 9,368.43 and 4,056.64

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Solution

The fourth proportional to 6,254.44, 9,368.43 and 4,056.64 is: 6,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.44 : 9,368.43 = 4,056.64 : x
  2. Step 2: Convert to fraction form
    6,254.44/9,368.43 = 4,056.64/x
  3. Step 3: Cross multiply
    6,254.44x = 9,368.43 × 4,056.64
  4. Step 4: Simplify right side
    6,254.44x = 38,004,347.88
  5. Step 5: Solve for x
    x = 38,004,347.88/6,254.44
  6. Step 6: Final answer
    x = 6,076.38

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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.