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Finding the Fourth Proportional to 10,967.61, 16,451.42 and 3,176.42

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Solution

The fourth proportional to 10,967.61, 16,451.42 and 3,176.42 is: 4,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.61 : 16,451.42 = 3,176.42 : x
  2. Step 2: Convert to fraction form
    10,967.61/16,451.42 = 3,176.42/x
  3. Step 3: Cross multiply
    10,967.61x = 16,451.42 × 3,176.42
  4. Step 4: Simplify right side
    10,967.61x = 52,256,644.76
  5. Step 5: Solve for x
    x = 52,256,644.76/10,967.61
  6. Step 6: Final answer
    x = 4,764.63

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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.