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Finding the Fourth Proportional to 4,462.56, 6,693.84 and 1,542.24

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Solution

The fourth proportional to 4,462.56, 6,693.84 and 1,542.24 is: 2,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.56 : 6,693.84 = 1,542.24 : x
  2. Step 2: Convert to fraction form
    4,462.56/6,693.84 = 1,542.24/x
  3. Step 3: Cross multiply
    4,462.56x = 6,693.84 × 1,542.24
  4. Step 4: Simplify right side
    4,462.56x = 10,323,507.80
  5. Step 5: Solve for x
    x = 10,323,507.80/4,462.56
  6. Step 6: Final answer
    x = 2,313.36

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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.