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Finding the Fourth Proportional to 11,751.75, 16,208.24 and 7,277.99

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Solution

The fourth proportional to 11,751.75, 16,208.24 and 7,277.99 is: 10,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.75 : 16,208.24 = 7,277.99 : x
  2. Step 2: Convert to fraction form
    11,751.75/16,208.24 = 7,277.99/x
  3. Step 3: Cross multiply
    11,751.75x = 16,208.24 × 7,277.99
  4. Step 4: Simplify right side
    11,751.75x = 117,963,291.21
  5. Step 5: Solve for x
    x = 117,963,291.21/11,751.75
  6. Step 6: Final answer
    x = 10,037.93

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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.