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Finding the Fourth Proportional to 8,657.58, 12,986.28 and 2,814.42

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Solution

The fourth proportional to 8,657.58, 12,986.28 and 2,814.42 is: 4,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.58 : 12,986.28 = 2,814.42 : x
  2. Step 2: Convert to fraction form
    8,657.58/12,986.28 = 2,814.42/x
  3. Step 3: Cross multiply
    8,657.58x = 12,986.28 × 2,814.42
  4. Step 4: Simplify right side
    8,657.58x = 36,548,846.16
  5. Step 5: Solve for x
    x = 36,548,846.16/8,657.58
  6. Step 6: Final answer
    x = 4,221.60

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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.