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Finding the Fourth Proportional to 6,506.64, 9,761.40 and 3,042

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Solution

The fourth proportional to 6,506.64, 9,761.40 and 3,042 is: 4,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.64 : 9,761.40 = 3,042 : x
  2. Step 2: Convert to fraction form
    6,506.64/9,761.40 = 3,042/x
  3. Step 3: Cross multiply
    6,506.64x = 9,761.40 × 3,042
  4. Step 4: Simplify right side
    6,506.64x = 29,694,178.80
  5. Step 5: Solve for x
    x = 29,694,178.80/6,506.64
  6. Step 6: Final answer
    x = 4,563.67

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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.