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Finding the Fourth Proportional to 10,492.72, 15,740.62 and 3,096.22

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Solution

The fourth proportional to 10,492.72, 15,740.62 and 3,096.22 is: 4,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.72 : 15,740.62 = 3,096.22 : x
  2. Step 2: Convert to fraction form
    10,492.72/15,740.62 = 3,096.22/x
  3. Step 3: Cross multiply
    10,492.72x = 15,740.62 × 3,096.22
  4. Step 4: Simplify right side
    10,492.72x = 48,736,375.36
  5. Step 5: Solve for x
    x = 48,736,375.36/10,492.72
  6. Step 6: Final answer
    x = 4,644.78

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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.