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Finding the Fourth Proportional to 14,793.32, 20,414.79 and 9,488.16

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Solution

The fourth proportional to 14,793.32, 20,414.79 and 9,488.16 is: 13,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.32 : 20,414.79 = 9,488.16 : x
  2. Step 2: Convert to fraction form
    14,793.32/20,414.79 = 9,488.16/x
  3. Step 3: Cross multiply
    14,793.32x = 20,414.79 × 9,488.16
  4. Step 4: Simplify right side
    14,793.32x = 193,698,793.89
  5. Step 5: Solve for x
    x = 193,698,793.89/14,793.32
  6. Step 6: Final answer
    x = 13,093.66

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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.