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Finding the Fourth Proportional to 10,609.64, 15,915.24 and 3,213.44

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Solution

The fourth proportional to 10,609.64, 15,915.24 and 3,213.44 is: 4,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.64 : 15,915.24 = 3,213.44 : x
  2. Step 2: Convert to fraction form
    10,609.64/15,915.24 = 3,213.44/x
  3. Step 3: Cross multiply
    10,609.64x = 15,915.24 × 3,213.44
  4. Step 4: Simplify right side
    10,609.64x = 51,142,668.83
  5. Step 5: Solve for x
    x = 51,142,668.83/10,609.64
  6. Step 6: Final answer
    x = 4,820.40

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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.