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Finding the Fourth Proportional to 9,653.52, 14,481.36 and 4,458

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Solution

The fourth proportional to 9,653.52, 14,481.36 and 4,458 is: 6,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.52 : 14,481.36 = 4,458 : x
  2. Step 2: Convert to fraction form
    9,653.52/14,481.36 = 4,458/x
  3. Step 3: Cross multiply
    9,653.52x = 14,481.36 × 4,458
  4. Step 4: Simplify right side
    9,653.52x = 64,557,902.88
  5. Step 5: Solve for x
    x = 64,557,902.88/9,653.52
  6. Step 6: Final answer
    x = 6,687.50

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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.