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Finding the Fourth Proportional to 10,252, 15,380.56 and 2,956

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Solution

The fourth proportional to 10,252, 15,380.56 and 2,956 is: 4,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252 : 15,380.56 = 2,956 : x
  2. Step 2: Convert to fraction form
    10,252/15,380.56 = 2,956/x
  3. Step 3: Cross multiply
    10,252x = 15,380.56 × 2,956
  4. Step 4: Simplify right side
    10,252x = 45,464,935.36
  5. Step 5: Solve for x
    x = 45,464,935.36/10,252
  6. Step 6: Final answer
    x = 4,434.74

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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.