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Finding the Fourth Proportional to 11,046, 15,243.48 and 6,078

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Solution

The fourth proportional to 11,046, 15,243.48 and 6,078 is: 8,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046 : 15,243.48 = 6,078 : x
  2. Step 2: Convert to fraction form
    11,046/15,243.48 = 6,078/x
  3. Step 3: Cross multiply
    11,046x = 15,243.48 × 6,078
  4. Step 4: Simplify right side
    11,046x = 92,649,871.44
  5. Step 5: Solve for x
    x = 92,649,871.44/11,046
  6. Step 6: Final answer
    x = 8,387.64

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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.