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Finding the Fourth Proportional to 10,735, 14,814.38 and 6,542.52

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Solution

The fourth proportional to 10,735, 14,814.38 and 6,542.52 is: 9,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735 : 14,814.38 = 6,542.52 : x
  2. Step 2: Convert to fraction form
    10,735/14,814.38 = 6,542.52/x
  3. Step 3: Cross multiply
    10,735x = 14,814.38 × 6,542.52
  4. Step 4: Simplify right side
    10,735x = 96,923,377.44
  5. Step 5: Solve for x
    x = 96,923,377.44/10,735
  6. Step 6: Final answer
    x = 9,028.73

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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.