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Finding the Fourth Proportional to 13,640.64, 18,824.16 and 8,054.40

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Solution

The fourth proportional to 13,640.64, 18,824.16 and 8,054.40 is: 11,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.64 : 18,824.16 = 8,054.40 : x
  2. Step 2: Convert to fraction form
    13,640.64/18,824.16 = 8,054.40/x
  3. Step 3: Cross multiply
    13,640.64x = 18,824.16 × 8,054.40
  4. Step 4: Simplify right side
    13,640.64x = 151,617,314.30
  5. Step 5: Solve for x
    x = 151,617,314.30/13,640.64
  6. Step 6: Final answer
    x = 11,115.12

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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.