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Finding the Fourth Proportional to 6,577, 9,870.37 and 3,114.26

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Solution

The fourth proportional to 6,577, 9,870.37 and 3,114.26 is: 4,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577 : 9,870.37 = 3,114.26 : x
  2. Step 2: Convert to fraction form
    6,577/9,870.37 = 3,114.26/x
  3. Step 3: Cross multiply
    6,577x = 9,870.37 × 3,114.26
  4. Step 4: Simplify right side
    6,577x = 30,738,898.48
  5. Step 5: Solve for x
    x = 30,738,898.48/6,577
  6. Step 6: Final answer
    x = 4,673.70

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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.