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Finding the Fourth Proportional to 9,732.58, 14,609.79 and 3,893.30

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Solution

The fourth proportional to 9,732.58, 14,609.79 and 3,893.30 is: 5,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.58 : 14,609.79 = 3,893.30 : x
  2. Step 2: Convert to fraction form
    9,732.58/14,609.79 = 3,893.30/x
  3. Step 3: Cross multiply
    9,732.58x = 14,609.79 × 3,893.30
  4. Step 4: Simplify right side
    9,732.58x = 56,880,295.41
  5. Step 5: Solve for x
    x = 56,880,295.41/9,732.58
  6. Step 6: Final answer
    x = 5,844.32

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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.