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Finding the Fourth Proportional to 11,762.88, 17,644.32 and 4,265.80

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Solution

The fourth proportional to 11,762.88, 17,644.32 and 4,265.80 is: 6,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.88 : 17,644.32 = 4,265.80 : x
  2. Step 2: Convert to fraction form
    11,762.88/17,644.32 = 4,265.80/x
  3. Step 3: Cross multiply
    11,762.88x = 17,644.32 × 4,265.80
  4. Step 4: Simplify right side
    11,762.88x = 75,267,140.26
  5. Step 5: Solve for x
    x = 75,267,140.26/11,762.88
  6. Step 6: Final answer
    x = 6,398.70

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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.