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Finding the Fourth Proportional to 7,105.03, 9,804.99 and 4,122.64

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Solution

The fourth proportional to 7,105.03, 9,804.99 and 4,122.64 is: 5,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.03 : 9,804.99 = 4,122.64 : x
  2. Step 2: Convert to fraction form
    7,105.03/9,804.99 = 4,122.64/x
  3. Step 3: Cross multiply
    7,105.03x = 9,804.99 × 4,122.64
  4. Step 4: Simplify right side
    7,105.03x = 40,422,443.97
  5. Step 5: Solve for x
    x = 40,422,443.97/7,105.03
  6. Step 6: Final answer
    x = 5,689.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.