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Finding the Fourth Proportional to 9,750.83, 14,624.75 and 3,177

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Solution

The fourth proportional to 9,750.83, 14,624.75 and 3,177 is: 4,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.83 : 14,624.75 = 3,177 : x
  2. Step 2: Convert to fraction form
    9,750.83/14,624.75 = 3,177/x
  3. Step 3: Cross multiply
    9,750.83x = 14,624.75 × 3,177
  4. Step 4: Simplify right side
    9,750.83x = 46,462,814.87
  5. Step 5: Solve for x
    x = 46,462,814.87/9,750.83
  6. Step 6: Final answer
    x = 4,765.01

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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.