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Finding the Fourth Proportional to 12,562.10, 17,338.10 and 8,313.24

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Solution

The fourth proportional to 12,562.10, 17,338.10 and 8,313.24 is: 11,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.10 : 17,338.10 = 8,313.24 : x
  2. Step 2: Convert to fraction form
    12,562.10/17,338.10 = 8,313.24/x
  3. Step 3: Cross multiply
    12,562.10x = 17,338.10 × 8,313.24
  4. Step 4: Simplify right side
    12,562.10x = 144,135,744.88
  5. Step 5: Solve for x
    x = 144,135,744.88/12,562.10
  6. Step 6: Final answer
    x = 11,473.86

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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.