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Finding the Fourth Proportional to 9,828.03, 13,562.94 and 5,351.97

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Solution

The fourth proportional to 9,828.03, 13,562.94 and 5,351.97 is: 7,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.03 : 13,562.94 = 5,351.97 : x
  2. Step 2: Convert to fraction form
    9,828.03/13,562.94 = 5,351.97/x
  3. Step 3: Cross multiply
    9,828.03x = 13,562.94 × 5,351.97
  4. Step 4: Simplify right side
    9,828.03x = 72,588,447.99
  5. Step 5: Solve for x
    x = 72,588,447.99/9,828.03
  6. Step 6: Final answer
    x = 7,385.86

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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.