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Finding the Fourth Proportional to 14,794.31, 20,416.76 and 8,506.69

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Solution

The fourth proportional to 14,794.31, 20,416.76 and 8,506.69 is: 11,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.31 : 20,416.76 = 8,506.69 : x
  2. Step 2: Convert to fraction form
    14,794.31/20,416.76 = 8,506.69/x
  3. Step 3: Cross multiply
    14,794.31x = 20,416.76 × 8,506.69
  4. Step 4: Simplify right side
    14,794.31x = 173,678,986.45
  5. Step 5: Solve for x
    x = 173,678,986.45/14,794.31
  6. Step 6: Final answer
    x = 11,739.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.