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Finding the Fourth Proportional to 11,241.99, 15,513.99 and 6,206.25

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Solution

The fourth proportional to 11,241.99, 15,513.99 and 6,206.25 is: 8,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.99 : 15,513.99 = 6,206.25 : x
  2. Step 2: Convert to fraction form
    11,241.99/15,513.99 = 6,206.25/x
  3. Step 3: Cross multiply
    11,241.99x = 15,513.99 × 6,206.25
  4. Step 4: Simplify right side
    11,241.99x = 96,283,700.44
  5. Step 5: Solve for x
    x = 96,283,700.44/11,241.99
  6. Step 6: Final answer
    x = 8,564.65

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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.