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Finding the Fourth Proportional to 8,514.46, 12,774.30 and 4,357.43

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Solution

The fourth proportional to 8,514.46, 12,774.30 and 4,357.43 is: 6,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.46 : 12,774.30 = 4,357.43 : x
  2. Step 2: Convert to fraction form
    8,514.46/12,774.30 = 4,357.43/x
  3. Step 3: Cross multiply
    8,514.46x = 12,774.30 × 4,357.43
  4. Step 4: Simplify right side
    8,514.46x = 55,663,054.18
  5. Step 5: Solve for x
    x = 55,663,054.18/8,514.46
  6. Step 6: Final answer
    x = 6,537.48

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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.