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Finding the Fourth Proportional to 36,476.24, 54,714.36 and 8,774.24

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Solution

The fourth proportional to 36,476.24, 54,714.36 and 8,774.24 is: 13,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,476.24 : 54,714.36 = 8,774.24 : x
  2. Step 2: Convert to fraction form
    36,476.24/54,714.36 = 8,774.24/x
  3. Step 3: Cross multiply
    36,476.24x = 54,714.36 × 8,774.24
  4. Step 4: Simplify right side
    36,476.24x = 480,076,926.09
  5. Step 5: Solve for x
    x = 480,076,926.09/36,476.24
  6. Step 6: Final answer
    x = 13,161.36

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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.