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Finding the Fourth Proportional to 10,670.76, 16,005.72 and 3,274.84

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Solution

The fourth proportional to 10,670.76, 16,005.72 and 3,274.84 is: 4,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.76 : 16,005.72 = 3,274.84 : x
  2. Step 2: Convert to fraction form
    10,670.76/16,005.72 = 3,274.84/x
  3. Step 3: Cross multiply
    10,670.76x = 16,005.72 × 3,274.84
  4. Step 4: Simplify right side
    10,670.76x = 52,416,172.08
  5. Step 5: Solve for x
    x = 52,416,172.08/10,670.76
  6. Step 6: Final answer
    x = 4,912.13

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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.