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Finding the Fourth Proportional to 37,265.20, 55,897.78 and 9,563.20

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Solution

The fourth proportional to 37,265.20, 55,897.78 and 9,563.20 is: 14,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,265.20 : 55,897.78 = 9,563.20 : x
  2. Step 2: Convert to fraction form
    37,265.20/55,897.78 = 9,563.20/x
  3. Step 3: Cross multiply
    37,265.20x = 55,897.78 × 9,563.20
  4. Step 4: Simplify right side
    37,265.20x = 534,561,649.70
  5. Step 5: Solve for x
    x = 534,561,649.70/37,265.20
  6. Step 6: Final answer
    x = 14,344.79

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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.