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Finding the Fourth Proportional to 9,825.44, 14,732.64 and 8,658.09

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Solution

The fourth proportional to 9,825.44, 14,732.64 and 8,658.09 is: 12,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.44 : 14,732.64 = 8,658.09 : x
  2. Step 2: Convert to fraction form
    9,825.44/14,732.64 = 8,658.09/x
  3. Step 3: Cross multiply
    9,825.44x = 14,732.64 × 8,658.09
  4. Step 4: Simplify right side
    9,825.44x = 127,556,523.06
  5. Step 5: Solve for x
    x = 127,556,523.06/9,825.44
  6. Step 6: Final answer
    x = 12,982.28

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1.5x scale

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.