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Finding the Fourth Proportional to 10,535.97, 14,542.43 and 6,554.82

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Solution

The fourth proportional to 10,535.97, 14,542.43 and 6,554.82 is: 9,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.97 : 14,542.43 = 6,554.82 : x
  2. Step 2: Convert to fraction form
    10,535.97/14,542.43 = 6,554.82/x
  3. Step 3: Cross multiply
    10,535.97x = 14,542.43 × 6,554.82
  4. Step 4: Simplify right side
    10,535.97x = 95,322,978.24
  5. Step 5: Solve for x
    x = 95,322,978.24/10,535.97
  6. Step 6: Final answer
    x = 9,047.39

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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.