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Finding the Fourth Proportional to 11,362.56, 16,974.48 and 9,056.64

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Solution

The fourth proportional to 11,362.56, 16,974.48 and 9,056.64 is: 13,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.56 : 16,974.48 = 9,056.64 : x
  2. Step 2: Convert to fraction form
    11,362.56/16,974.48 = 9,056.64/x
  3. Step 3: Cross multiply
    11,362.56x = 16,974.48 × 9,056.64
  4. Step 4: Simplify right side
    11,362.56x = 153,731,754.55
  5. Step 5: Solve for x
    x = 153,731,754.55/11,362.56
  6. Step 6: Final answer
    x = 13,529.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.