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Finding the Fourth Proportional to 9,825.36, 14,738.40 and 2,900.40

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Solution

The fourth proportional to 9,825.36, 14,738.40 and 2,900.40 is: 4,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.36 : 14,738.40 = 2,900.40 : x
  2. Step 2: Convert to fraction form
    9,825.36/14,738.40 = 2,900.40/x
  3. Step 3: Cross multiply
    9,825.36x = 14,738.40 × 2,900.40
  4. Step 4: Simplify right side
    9,825.36x = 42,747,255.36
  5. Step 5: Solve for x
    x = 42,747,255.36/9,825.36
  6. Step 6: Final answer
    x = 4,350.71

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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.