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Finding the Fourth Proportional to 8,349.57, 12,524.31 and 2,109.58

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Solution

The fourth proportional to 8,349.57, 12,524.31 and 2,109.58 is: 3,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.57 : 12,524.31 = 2,109.58 : x
  2. Step 2: Convert to fraction form
    8,349.57/12,524.31 = 2,109.58/x
  3. Step 3: Cross multiply
    8,349.57x = 12,524.31 × 2,109.58
  4. Step 4: Simplify right side
    8,349.57x = 26,421,002.58
  5. Step 5: Solve for x
    x = 26,421,002.58/8,349.57
  6. Step 6: Final answer
    x = 3,164.35

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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.