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Finding the Fourth Proportional to 14,563, 20,096.76 and 8,190.65

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Solution

The fourth proportional to 14,563, 20,096.76 and 8,190.65 is: 11,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563 : 20,096.76 = 8,190.65 : x
  2. Step 2: Convert to fraction form
    14,563/20,096.76 = 8,190.65/x
  3. Step 3: Cross multiply
    14,563x = 20,096.76 × 8,190.65
  4. Step 4: Simplify right side
    14,563x = 164,605,385.86
  5. Step 5: Solve for x
    x = 164,605,385.86/14,563
  6. Step 6: Final answer
    x = 11,302.99

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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.