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Finding the Fourth Proportional to 6,506.67, 9,769.12 and 4,034.01

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Solution

The fourth proportional to 6,506.67, 9,769.12 and 4,034.01 is: 6,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.67 : 9,769.12 = 4,034.01 : x
  2. Step 2: Convert to fraction form
    6,506.67/9,769.12 = 4,034.01/x
  3. Step 3: Cross multiply
    6,506.67x = 9,769.12 × 4,034.01
  4. Step 4: Simplify right side
    6,506.67x = 39,408,727.77
  5. Step 5: Solve for x
    x = 39,408,727.77/6,506.67
  6. Step 6: Final answer
    x = 6,056.67

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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.