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Finding the Fourth Proportional to 9,798.03, 13,523.76 and 5,821.94

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Solution

The fourth proportional to 9,798.03, 13,523.76 and 5,821.94 is: 8,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.03 : 13,523.76 = 5,821.94 : x
  2. Step 2: Convert to fraction form
    9,798.03/13,523.76 = 5,821.94/x
  3. Step 3: Cross multiply
    9,798.03x = 13,523.76 × 5,821.94
  4. Step 4: Simplify right side
    9,798.03x = 78,734,553.10
  5. Step 5: Solve for x
    x = 78,734,553.10/9,798.03
  6. Step 6: Final answer
    x = 8,035.75

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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.