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Finding the Fourth Proportional to 38,476.08, 57,714.12 and 10,774.08

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Solution

The fourth proportional to 38,476.08, 57,714.12 and 10,774.08 is: 16,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.08 : 57,714.12 = 10,774.08 : x
  2. Step 2: Convert to fraction form
    38,476.08/57,714.12 = 10,774.08/x
  3. Step 3: Cross multiply
    38,476.08x = 57,714.12 × 10,774.08
  4. Step 4: Simplify right side
    38,476.08x = 621,816,546.01
  5. Step 5: Solve for x
    x = 621,816,546.01/38,476.08
  6. Step 6: Final answer
    x = 16,161.12

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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.