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Finding the Fourth Proportional to 6,716, 10,074.54 and 2,099

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Solution

The fourth proportional to 6,716, 10,074.54 and 2,099 is: 3,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716 : 10,074.54 = 2,099 : x
  2. Step 2: Convert to fraction form
    6,716/10,074.54 = 2,099/x
  3. Step 3: Cross multiply
    6,716x = 10,074.54 × 2,099
  4. Step 4: Simplify right side
    6,716x = 21,146,459.46
  5. Step 5: Solve for x
    x = 21,146,459.46/6,716
  6. Step 6: Final answer
    x = 3,148.67

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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.