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Finding the Fourth Proportional to 10,754.80, 16,132.20 and 3,828.40

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Solution

The fourth proportional to 10,754.80, 16,132.20 and 3,828.40 is: 5,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.80 : 16,132.20 = 3,828.40 : x
  2. Step 2: Convert to fraction form
    10,754.80/16,132.20 = 3,828.40/x
  3. Step 3: Cross multiply
    10,754.80x = 16,132.20 × 3,828.40
  4. Step 4: Simplify right side
    10,754.80x = 61,760,514.48
  5. Step 5: Solve for x
    x = 61,760,514.48/10,754.80
  6. Step 6: Final answer
    x = 5,742.60

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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.