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Finding the Fourth Proportional to 6,735, 9,292.89 and 3,902.22

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Solution

The fourth proportional to 6,735, 9,292.89 and 3,902.22 is: 5,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735 : 9,292.89 = 3,902.22 : x
  2. Step 2: Convert to fraction form
    6,735/9,292.89 = 3,902.22/x
  3. Step 3: Cross multiply
    6,735x = 9,292.89 × 3,902.22
  4. Step 4: Simplify right side
    6,735x = 36,262,901.22
  5. Step 5: Solve for x
    x = 36,262,901.22/6,735
  6. Step 6: Final answer
    x = 5,384.25

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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.