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Finding the Fourth Proportional to 6,503.51, 9,755.67 and 2,607.41

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Solution

The fourth proportional to 6,503.51, 9,755.67 and 2,607.41 is: 3,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.51 : 9,755.67 = 2,607.41 : x
  2. Step 2: Convert to fraction form
    6,503.51/9,755.67 = 2,607.41/x
  3. Step 3: Cross multiply
    6,503.51x = 9,755.67 × 2,607.41
  4. Step 4: Simplify right side
    6,503.51x = 25,437,031.51
  5. Step 5: Solve for x
    x = 25,437,031.51/6,503.51
  6. Step 6: Final answer
    x = 3,911.28

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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.