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Finding the Fourth Proportional to 9,576.34, 14,367 and 3,653.34

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Solution

The fourth proportional to 9,576.34, 14,367 and 3,653.34 is: 5,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.34 : 14,367 = 3,653.34 : x
  2. Step 2: Convert to fraction form
    9,576.34/14,367 = 3,653.34/x
  3. Step 3: Cross multiply
    9,576.34x = 14,367 × 3,653.34
  4. Step 4: Simplify right side
    9,576.34x = 52,487,535.78
  5. Step 5: Solve for x
    x = 52,487,535.78/9,576.34
  6. Step 6: Final answer
    x = 5,480.96

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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.