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Finding the Fourth Proportional to 10,453.98, 15,738.03 and 9,535.44

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Solution

The fourth proportional to 10,453.98, 15,738.03 and 9,535.44 is: 14,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.98 : 15,738.03 = 9,535.44 : x
  2. Step 2: Convert to fraction form
    10,453.98/15,738.03 = 9,535.44/x
  3. Step 3: Cross multiply
    10,453.98x = 15,738.03 × 9,535.44
  4. Step 4: Simplify right side
    10,453.98x = 150,069,040.78
  5. Step 5: Solve for x
    x = 150,069,040.78/10,453.98
  6. Step 6: Final answer
    x = 14,355.21

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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.