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Finding the Fourth Proportional to 14,762.56, 20,372.88 and 9,096.16

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Solution

The fourth proportional to 14,762.56, 20,372.88 and 9,096.16 is: 12,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.56 : 20,372.88 = 9,096.16 : x
  2. Step 2: Convert to fraction form
    14,762.56/20,372.88 = 9,096.16/x
  3. Step 3: Cross multiply
    14,762.56x = 20,372.88 × 9,096.16
  4. Step 4: Simplify right side
    14,762.56x = 185,314,976.14
  5. Step 5: Solve for x
    x = 185,314,976.14/14,762.56
  6. Step 6: Final answer
    x = 12,553.04

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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.