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Finding the Fourth Proportional to 19,682.64, 29,538 and 10,924.56

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Solution

The fourth proportional to 19,682.64, 29,538 and 10,924.56 is: 16,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.64 : 29,538 = 10,924.56 : x
  2. Step 2: Convert to fraction form
    19,682.64/29,538 = 10,924.56/x
  3. Step 3: Cross multiply
    19,682.64x = 29,538 × 10,924.56
  4. Step 4: Simplify right side
    19,682.64x = 322,689,653.28
  5. Step 5: Solve for x
    x = 322,689,653.28/19,682.64
  6. Step 6: Final answer
    x = 16,394.63

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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.