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Finding the Fourth Proportional to 10,609.62, 14,630.67 and 9,014.52

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Solution

The fourth proportional to 10,609.62, 14,630.67 and 9,014.52 is: 12,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.62 : 14,630.67 = 9,014.52 : x
  2. Step 2: Convert to fraction form
    10,609.62/14,630.67 = 9,014.52/x
  3. Step 3: Cross multiply
    10,609.62x = 14,630.67 × 9,014.52
  4. Step 4: Simplify right side
    10,609.62x = 131,888,467.33
  5. Step 5: Solve for x
    x = 131,888,467.33/10,609.62
  6. Step 6: Final answer
    x = 12,431.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.