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Finding the Fourth Proportional to 6,653.52, 9,975.28 and 3,141.46

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Solution

The fourth proportional to 6,653.52, 9,975.28 and 3,141.46 is: 4,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.52 : 9,975.28 = 3,141.46 : x
  2. Step 2: Convert to fraction form
    6,653.52/9,975.28 = 3,141.46/x
  3. Step 3: Cross multiply
    6,653.52x = 9,975.28 × 3,141.46
  4. Step 4: Simplify right side
    6,653.52x = 31,336,983.95
  5. Step 5: Solve for x
    x = 31,336,983.95/6,653.52
  6. Step 6: Final answer
    x = 4,709.84

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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.