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Finding the Fourth Proportional to 6,401, 8,833.52 and 3,606.50

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Solution

The fourth proportional to 6,401, 8,833.52 and 3,606.50 is: 4,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401 : 8,833.52 = 3,606.50 : x
  2. Step 2: Convert to fraction form
    6,401/8,833.52 = 3,606.50/x
  3. Step 3: Cross multiply
    6,401x = 8,833.52 × 3,606.50
  4. Step 4: Simplify right side
    6,401x = 31,858,089.88
  5. Step 5: Solve for x
    x = 31,858,089.88/6,401
  6. Step 6: Final answer
    x = 4,977.05

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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.