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Finding the Fourth Proportional to 12,483.14, 18,714.55 and 8,524.41

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Solution

The fourth proportional to 12,483.14, 18,714.55 and 8,524.41 is: 12,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.14 : 18,714.55 = 8,524.41 : x
  2. Step 2: Convert to fraction form
    12,483.14/18,714.55 = 8,524.41/x
  3. Step 3: Cross multiply
    12,483.14x = 18,714.55 × 8,524.41
  4. Step 4: Simplify right side
    12,483.14x = 159,530,497.17
  5. Step 5: Solve for x
    x = 159,530,497.17/12,483.14
  6. Step 6: Final answer
    x = 12,779.68

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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.