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Finding the Fourth Proportional to 14,378.58, 19,845.95 and 8,414.15

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Solution

The fourth proportional to 14,378.58, 19,845.95 and 8,414.15 is: 11,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.58 : 19,845.95 = 8,414.15 : x
  2. Step 2: Convert to fraction form
    14,378.58/19,845.95 = 8,414.15/x
  3. Step 3: Cross multiply
    14,378.58x = 19,845.95 × 8,414.15
  4. Step 4: Simplify right side
    14,378.58x = 166,986,658.89
  5. Step 5: Solve for x
    x = 166,986,658.89/14,378.58
  6. Step 6: Final answer
    x = 11,613.57

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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.