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Finding the Fourth Proportional to 12,605.36, 17,394.14 and 7,301.88

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Solution

The fourth proportional to 12,605.36, 17,394.14 and 7,301.88 is: 10,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.36 : 17,394.14 = 7,301.88 : x
  2. Step 2: Convert to fraction form
    12,605.36/17,394.14 = 7,301.88/x
  3. Step 3: Cross multiply
    12,605.36x = 17,394.14 × 7,301.88
  4. Step 4: Simplify right side
    12,605.36x = 127,009,922.98
  5. Step 5: Solve for x
    x = 127,009,922.98/12,605.36
  6. Step 6: Final answer
    x = 10,075.87

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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.