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Finding the Fourth Proportional to 6,538.42, 9,800.34 and 2,835.10

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Solution

The fourth proportional to 6,538.42, 9,800.34 and 2,835.10 is: 4,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.42 : 9,800.34 = 2,835.10 : x
  2. Step 2: Convert to fraction form
    6,538.42/9,800.34 = 2,835.10/x
  3. Step 3: Cross multiply
    6,538.42x = 9,800.34 × 2,835.10
  4. Step 4: Simplify right side
    6,538.42x = 27,784,943.93
  5. Step 5: Solve for x
    x = 27,784,943.93/6,538.42
  6. Step 6: Final answer
    x = 4,249.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.