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Finding the Fourth Proportional to 9,800.35, 13,524.62 and 5,324.19

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Solution

The fourth proportional to 9,800.35, 13,524.62 and 5,324.19 is: 7,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.35 : 13,524.62 = 5,324.19 : x
  2. Step 2: Convert to fraction form
    9,800.35/13,524.62 = 5,324.19/x
  3. Step 3: Cross multiply
    9,800.35x = 13,524.62 × 5,324.19
  4. Step 4: Simplify right side
    9,800.35x = 72,007,646.56
  5. Step 5: Solve for x
    x = 72,007,646.56/9,800.35
  6. Step 6: Final answer
    x = 7,347.46

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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.