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Finding the Fourth Proportional to 9,509.98, 14,265.80 and 2,489.97

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Solution

The fourth proportional to 9,509.98, 14,265.80 and 2,489.97 is: 3,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.98 : 14,265.80 = 2,489.97 : x
  2. Step 2: Convert to fraction form
    9,509.98/14,265.80 = 2,489.97/x
  3. Step 3: Cross multiply
    9,509.98x = 14,265.80 × 2,489.97
  4. Step 4: Simplify right side
    9,509.98x = 35,521,414.03
  5. Step 5: Solve for x
    x = 35,521,414.03/9,509.98
  6. Step 6: Final answer
    x = 3,735.17

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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.