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Finding the Fourth Proportional to 6,918, 9,546.84 and 4,434

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Solution

The fourth proportional to 6,918, 9,546.84 and 4,434 is: 6,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918 : 9,546.84 = 4,434 : x
  2. Step 2: Convert to fraction form
    6,918/9,546.84 = 4,434/x
  3. Step 3: Cross multiply
    6,918x = 9,546.84 × 4,434
  4. Step 4: Simplify right side
    6,918x = 42,330,688.56
  5. Step 5: Solve for x
    x = 42,330,688.56/6,918
  6. Step 6: Final answer
    x = 6,118.92

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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.