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Finding the Fourth Proportional to 6,653.04, 9,174.84 and 4,296

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Solution

The fourth proportional to 6,653.04, 9,174.84 and 4,296 is: 5,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.04 : 9,174.84 = 4,296 : x
  2. Step 2: Convert to fraction form
    6,653.04/9,174.84 = 4,296/x
  3. Step 3: Cross multiply
    6,653.04x = 9,174.84 × 4,296
  4. Step 4: Simplify right side
    6,653.04x = 39,415,112.64
  5. Step 5: Solve for x
    x = 39,415,112.64/6,653.04
  6. Step 6: Final answer
    x = 5,924.38

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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.