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Finding the Fourth Proportional to 9,800.85, 13,527.14 and 5,821.19

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Solution

The fourth proportional to 9,800.85, 13,527.14 and 5,821.19 is: 8,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.85 : 13,527.14 = 5,821.19 : x
  2. Step 2: Convert to fraction form
    9,800.85/13,527.14 = 5,821.19/x
  3. Step 3: Cross multiply
    9,800.85x = 13,527.14 × 5,821.19
  4. Step 4: Simplify right side
    9,800.85x = 78,744,100.47
  5. Step 5: Solve for x
    x = 78,744,100.47/9,800.85
  6. Step 6: Final answer
    x = 8,034.42

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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.