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Finding the Fourth Proportional to 11,242.01, 16,849.04 and 4,661.57

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Solution

The fourth proportional to 11,242.01, 16,849.04 and 4,661.57 is: 6,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.01 : 16,849.04 = 4,661.57 : x
  2. Step 2: Convert to fraction form
    11,242.01/16,849.04 = 4,661.57/x
  3. Step 3: Cross multiply
    11,242.01x = 16,849.04 × 4,661.57
  4. Step 4: Simplify right side
    11,242.01x = 78,542,871.84
  5. Step 5: Solve for x
    x = 78,542,871.84/11,242.01
  6. Step 6: Final answer
    x = 6,986.55

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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.