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Finding the Fourth Proportional to 11,765.52, 16,241.76 and 7,522.38

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Solution

The fourth proportional to 11,765.52, 16,241.76 and 7,522.38 is: 10,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.52 : 16,241.76 = 7,522.38 : x
  2. Step 2: Convert to fraction form
    11,765.52/16,241.76 = 7,522.38/x
  3. Step 3: Cross multiply
    11,765.52x = 16,241.76 × 7,522.38
  4. Step 4: Simplify right side
    11,765.52x = 122,176,690.59
  5. Step 5: Solve for x
    x = 122,176,690.59/11,765.52
  6. Step 6: Final answer
    x = 10,384.30

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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.