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Finding the Fourth Proportional to 6,735, 10,104.14 and 2,292.63

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Solution

The fourth proportional to 6,735, 10,104.14 and 2,292.63 is: 3,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735 : 10,104.14 = 2,292.63 : x
  2. Step 2: Convert to fraction form
    6,735/10,104.14 = 2,292.63/x
  3. Step 3: Cross multiply
    6,735x = 10,104.14 × 2,292.63
  4. Step 4: Simplify right side
    6,735x = 23,165,054.49
  5. Step 5: Solve for x
    x = 23,165,054.49/6,735
  6. Step 6: Final answer
    x = 3,439.50

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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.