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Finding the Fourth Proportional to 14,470.64, 19,968.54 and 8,096.14

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Solution

The fourth proportional to 14,470.64, 19,968.54 and 8,096.14 is: 11,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.64 : 19,968.54 = 8,096.14 : x
  2. Step 2: Convert to fraction form
    14,470.64/19,968.54 = 8,096.14/x
  3. Step 3: Cross multiply
    14,470.64x = 19,968.54 × 8,096.14
  4. Step 4: Simplify right side
    14,470.64x = 161,668,095.44
  5. Step 5: Solve for x
    x = 161,668,095.44/14,470.64
  6. Step 6: Final answer
    x = 11,172.15

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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.