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Finding the Fourth Proportional to 7,757.56, 10,705.36 and 4,401

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Solution

The fourth proportional to 7,757.56, 10,705.36 and 4,401 is: 6,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.56 : 10,705.36 = 4,401 : x
  2. Step 2: Convert to fraction form
    7,757.56/10,705.36 = 4,401/x
  3. Step 3: Cross multiply
    7,757.56x = 10,705.36 × 4,401
  4. Step 4: Simplify right side
    7,757.56x = 47,114,289.36
  5. Step 5: Solve for x
    x = 47,114,289.36/7,757.56
  6. Step 6: Final answer
    x = 6,073.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.