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Finding the Fourth Proportional to 36,567.76, 54,853.76 and 10,274.54

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Solution

The fourth proportional to 36,567.76, 54,853.76 and 10,274.54 is: 15,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,567.76 : 54,853.76 = 10,274.54 : x
  2. Step 2: Convert to fraction form
    36,567.76/54,853.76 = 10,274.54/x
  3. Step 3: Cross multiply
    36,567.76x = 54,853.76 × 10,274.54
  4. Step 4: Simplify right side
    36,567.76x = 563,597,151.27
  5. Step 5: Solve for x
    x = 563,597,151.27/36,567.76
  6. Step 6: Final answer
    x = 15,412.41

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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.