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Finding the Fourth Proportional to 9,653.82, 14,489.64 and 5,963.28

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Solution

The fourth proportional to 9,653.82, 14,489.64 and 5,963.28 is: 8,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.82 : 14,489.64 = 5,963.28 : x
  2. Step 2: Convert to fraction form
    9,653.82/14,489.64 = 5,963.28/x
  3. Step 3: Cross multiply
    9,653.82x = 14,489.64 × 5,963.28
  4. Step 4: Simplify right side
    9,653.82x = 86,405,780.42
  5. Step 5: Solve for x
    x = 86,405,780.42/9,653.82
  6. Step 6: Final answer
    x = 8,950.42

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1.5x scale

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.