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Finding the Fourth Proportional to 4,682.80, 6,461.16 and 3,797

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Solution

The fourth proportional to 4,682.80, 6,461.16 and 3,797 is: 5,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.80 : 6,461.16 = 3,797 : x
  2. Step 2: Convert to fraction form
    4,682.80/6,461.16 = 3,797/x
  3. Step 3: Cross multiply
    4,682.80x = 6,461.16 × 3,797
  4. Step 4: Simplify right side
    4,682.80x = 24,533,024.52
  5. Step 5: Solve for x
    x = 24,533,024.52/4,682.80
  6. Step 6: Final answer
    x = 5,238.96

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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.