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Finding the Fourth Proportional to 6,681.67, 10,024.80 and 2,986.45

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Solution

The fourth proportional to 6,681.67, 10,024.80 and 2,986.45 is: 4,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.67 : 10,024.80 = 2,986.45 : x
  2. Step 2: Convert to fraction form
    6,681.67/10,024.80 = 2,986.45/x
  3. Step 3: Cross multiply
    6,681.67x = 10,024.80 × 2,986.45
  4. Step 4: Simplify right side
    6,681.67x = 29,938,563.96
  5. Step 5: Solve for x
    x = 29,938,563.96/6,681.67
  6. Step 6: Final answer
    x = 4,480.70

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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.