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Finding the Fourth Proportional to 14,902.65, 20,565.32 and 8,096.58

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Solution

The fourth proportional to 14,902.65, 20,565.32 and 8,096.58 is: 11,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.65 : 20,565.32 = 8,096.58 : x
  2. Step 2: Convert to fraction form
    14,902.65/20,565.32 = 8,096.58/x
  3. Step 3: Cross multiply
    14,902.65x = 20,565.32 × 8,096.58
  4. Step 4: Simplify right side
    14,902.65x = 166,508,718.12
  5. Step 5: Solve for x
    x = 166,508,718.12/14,902.65
  6. Step 6: Final answer
    x = 11,173.09

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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.