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Finding the Fourth Proportional to 9,975, 14,953.44 and 6,266

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Solution

The fourth proportional to 9,975, 14,953.44 and 6,266 is: 9,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975 : 14,953.44 = 6,266 : x
  2. Step 2: Convert to fraction form
    9,975/14,953.44 = 6,266/x
  3. Step 3: Cross multiply
    9,975x = 14,953.44 × 6,266
  4. Step 4: Simplify right side
    9,975x = 93,698,255.04
  5. Step 5: Solve for x
    x = 93,698,255.04/9,975
  6. Step 6: Final answer
    x = 9,393.31

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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.