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Finding the Fourth Proportional to 9,825.88, 14,732.34 and 3,975.64

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Solution

The fourth proportional to 9,825.88, 14,732.34 and 3,975.64 is: 5,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.88 : 14,732.34 = 3,975.64 : x
  2. Step 2: Convert to fraction form
    9,825.88/14,732.34 = 3,975.64/x
  3. Step 3: Cross multiply
    9,825.88x = 14,732.34 × 3,975.64
  4. Step 4: Simplify right side
    9,825.88x = 58,570,480.20
  5. Step 5: Solve for x
    x = 58,570,480.20/9,825.88
  6. Step 6: Final answer
    x = 5,960.84

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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.