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Finding the Fourth Proportional to 6,503.67, 9,764.62 and 4,031.01

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Solution

The fourth proportional to 6,503.67, 9,764.62 and 4,031.01 is: 6,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.67 : 9,764.62 = 4,031.01 : x
  2. Step 2: Convert to fraction form
    6,503.67/9,764.62 = 4,031.01/x
  3. Step 3: Cross multiply
    6,503.67x = 9,764.62 × 4,031.01
  4. Step 4: Simplify right side
    6,503.67x = 39,361,270.79
  5. Step 5: Solve for x
    x = 39,361,270.79/6,503.67
  6. Step 6: Final answer
    x = 6,052.16

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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.