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Finding the Fourth Proportional to 11,045.75, 15,243.14 and 6,077.75

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Solution

The fourth proportional to 11,045.75, 15,243.14 and 6,077.75 is: 8,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,045.75 : 15,243.14 = 6,077.75 : x
  2. Step 2: Convert to fraction form
    11,045.75/15,243.14 = 6,077.75/x
  3. Step 3: Cross multiply
    11,045.75x = 15,243.14 × 6,077.75
  4. Step 4: Simplify right side
    11,045.75x = 92,643,963.75
  5. Step 5: Solve for x
    x = 92,643,963.75/11,045.75
  6. Step 6: Final answer
    x = 8,387.30

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1.5x scale

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.