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Finding the Fourth Proportional to 12,694.37, 17,501.44 and 10,417.37

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Solution

The fourth proportional to 12,694.37, 17,501.44 and 10,417.37 is: 14,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.37 : 17,501.44 = 10,417.37 : x
  2. Step 2: Convert to fraction form
    12,694.37/17,501.44 = 10,417.37/x
  3. Step 3: Cross multiply
    12,694.37x = 17,501.44 × 10,417.37
  4. Step 4: Simplify right side
    12,694.37x = 182,318,976.01
  5. Step 5: Solve for x
    x = 182,318,976.01/12,694.37
  6. Step 6: Final answer
    x = 14,362.19

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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.