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Finding the Fourth Proportional to 5,674.96, 8,512.80 and 1,514.88

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Solution

The fourth proportional to 5,674.96, 8,512.80 and 1,514.88 is: 2,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.96 : 8,512.80 = 1,514.88 : x
  2. Step 2: Convert to fraction form
    5,674.96/8,512.80 = 1,514.88/x
  3. Step 3: Cross multiply
    5,674.96x = 8,512.80 × 1,514.88
  4. Step 4: Simplify right side
    5,674.96x = 12,895,870.46
  5. Step 5: Solve for x
    x = 12,895,870.46/5,674.96
  6. Step 6: Final answer
    x = 2,272.42

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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.