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Finding the Fourth Proportional to 7,018.75, 9,692.56 and 5,524.00

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Solution

The fourth proportional to 7,018.75, 9,692.56 and 5,524.00 is: 7,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.75 : 9,692.56 = 5,524.00 : x
  2. Step 2: Convert to fraction form
    7,018.75/9,692.56 = 5,524.00/x
  3. Step 3: Cross multiply
    7,018.75x = 9,692.56 × 5,524.00
  4. Step 4: Simplify right side
    7,018.75x = 53,541,663.40
  5. Step 5: Solve for x
    x = 53,541,663.40/7,018.75
  6. Step 6: Final answer
    x = 7,628.38

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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.