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Finding the Fourth Proportional to 9,883.44, 14,829.54 and 5,202.30

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Solution

The fourth proportional to 9,883.44, 14,829.54 and 5,202.30 is: 7,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.44 : 14,829.54 = 5,202.30 : x
  2. Step 2: Convert to fraction form
    9,883.44/14,829.54 = 5,202.30/x
  3. Step 3: Cross multiply
    9,883.44x = 14,829.54 × 5,202.30
  4. Step 4: Simplify right side
    9,883.44x = 77,147,715.94
  5. Step 5: Solve for x
    x = 77,147,715.94/9,883.44
  6. Step 6: Final answer
    x = 7,805.76

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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.