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Finding the Fourth Proportional to 6,537.72, 9,801.05 and 2,837.17

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Solution

The fourth proportional to 6,537.72, 9,801.05 and 2,837.17 is: 4,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.72 : 9,801.05 = 2,837.17 : x
  2. Step 2: Convert to fraction form
    6,537.72/9,801.05 = 2,837.17/x
  3. Step 3: Cross multiply
    6,537.72x = 9,801.05 × 2,837.17
  4. Step 4: Simplify right side
    6,537.72x = 27,807,203.92
  5. Step 5: Solve for x
    x = 27,807,203.92/6,537.72
  6. Step 6: Final answer
    x = 4,253.35

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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.