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Finding the Fourth Proportional to 12,935, 17,850.30 and 7,346

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Solution

The fourth proportional to 12,935, 17,850.30 and 7,346 is: 10,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,935 : 17,850.30 = 7,346 : x
  2. Step 2: Convert to fraction form
    12,935/17,850.30 = 7,346/x
  3. Step 3: Cross multiply
    12,935x = 17,850.30 × 7,346
  4. Step 4: Simplify right side
    12,935x = 131,128,303.80
  5. Step 5: Solve for x
    x = 131,128,303.80/12,935
  6. Step 6: Final answer
    x = 10,137.48

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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.