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Finding the Fourth Proportional to 9,800.52, 13,524.96 and 5,324.22

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Solution

The fourth proportional to 9,800.52, 13,524.96 and 5,324.22 is: 7,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.52 : 13,524.96 = 5,324.22 : x
  2. Step 2: Convert to fraction form
    9,800.52/13,524.96 = 5,324.22/x
  3. Step 3: Cross multiply
    9,800.52x = 13,524.96 × 5,324.22
  4. Step 4: Simplify right side
    9,800.52x = 72,009,862.53
  5. Step 5: Solve for x
    x = 72,009,862.53/9,800.52
  6. Step 6: Final answer
    x = 7,347.56

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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.