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Finding the Fourth Proportional to 4,457.99, 6,682.46 and 1,534.43

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Solution

The fourth proportional to 4,457.99, 6,682.46 and 1,534.43 is: 2,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.99 : 6,682.46 = 1,534.43 : x
  2. Step 2: Convert to fraction form
    4,457.99/6,682.46 = 1,534.43/x
  3. Step 3: Cross multiply
    4,457.99x = 6,682.46 × 1,534.43
  4. Step 4: Simplify right side
    4,457.99x = 10,253,726.01
  5. Step 5: Solve for x
    x = 10,253,726.01/4,457.99
  6. Step 6: Final answer
    x = 2,300.08

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1.5x scale

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.