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Finding the Fourth Proportional to 6,537.70, 9,805.52 and 5,434.21

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Solution

The fourth proportional to 6,537.70, 9,805.52 and 5,434.21 is: 8,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.70 : 9,805.52 = 5,434.21 : x
  2. Step 2: Convert to fraction form
    6,537.70/9,805.52 = 5,434.21/x
  3. Step 3: Cross multiply
    6,537.70x = 9,805.52 × 5,434.21
  4. Step 4: Simplify right side
    6,537.70x = 53,285,203.15
  5. Step 5: Solve for x
    x = 53,285,203.15/6,537.70
  6. Step 6: Final answer
    x = 8,150.45

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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.