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Finding the Fourth Proportional to 6,537.36, 9,805.68 and 6,152.10

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Solution

The fourth proportional to 6,537.36, 9,805.68 and 6,152.10 is: 9,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.36 : 9,805.68 = 6,152.10 : x
  2. Step 2: Convert to fraction form
    6,537.36/9,805.68 = 6,152.10/x
  3. Step 3: Cross multiply
    6,537.36x = 9,805.68 × 6,152.10
  4. Step 4: Simplify right side
    6,537.36x = 60,325,523.93
  5. Step 5: Solve for x
    x = 60,325,523.93/6,537.36
  6. Step 6: Final answer
    x = 9,227.81

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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.