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Finding the Fourth Proportional to 6,478.07, 9,718.20 and 2,034.89

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Solution

The fourth proportional to 6,478.07, 9,718.20 and 2,034.89 is: 3,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.07 : 9,718.20 = 2,034.89 : x
  2. Step 2: Convert to fraction form
    6,478.07/9,718.20 = 2,034.89/x
  3. Step 3: Cross multiply
    6,478.07x = 9,718.20 × 2,034.89
  4. Step 4: Simplify right side
    6,478.07x = 19,775,419.41
  5. Step 5: Solve for x
    x = 19,775,419.41/6,478.07
  6. Step 6: Final answer
    x = 3,052.67

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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.