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Finding the Fourth Proportional to 10,459, 15,745.56 and 9,540.44

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Solution

The fourth proportional to 10,459, 15,745.56 and 9,540.44 is: 14,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459 : 15,745.56 = 9,540.44 : x
  2. Step 2: Convert to fraction form
    10,459/15,745.56 = 9,540.44/x
  3. Step 3: Cross multiply
    10,459x = 15,745.56 × 9,540.44
  4. Step 4: Simplify right side
    10,459x = 150,219,570.45
  5. Step 5: Solve for x
    x = 150,219,570.45/10,459
  6. Step 6: Final answer
    x = 14,362.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.