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Finding the Fourth Proportional to 6,573, 9,859.82 and 1,956.04

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Solution

The fourth proportional to 6,573, 9,859.82 and 1,956.04 is: 2,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573 : 9,859.82 = 1,956.04 : x
  2. Step 2: Convert to fraction form
    6,573/9,859.82 = 1,956.04/x
  3. Step 3: Cross multiply
    6,573x = 9,859.82 × 1,956.04
  4. Step 4: Simplify right side
    6,573x = 19,286,202.31
  5. Step 5: Solve for x
    x = 19,286,202.31/6,573
  6. Step 6: Final answer
    x = 2,934.16

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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.