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Finding the Fourth Proportional to 9,893.19, 14,839.76 and 2,498.24

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Solution

The fourth proportional to 9,893.19, 14,839.76 and 2,498.24 is: 3,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.19 : 14,839.76 = 2,498.24 : x
  2. Step 2: Convert to fraction form
    9,893.19/14,839.76 = 2,498.24/x
  3. Step 3: Cross multiply
    9,893.19x = 14,839.76 × 2,498.24
  4. Step 4: Simplify right side
    9,893.19x = 37,073,195.33
  5. Step 5: Solve for x
    x = 37,073,195.33/9,893.19
  6. Step 6: Final answer
    x = 3,747.34

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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.