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Finding the Fourth Proportional to 14,533.92, 21,785.76 and 6,736.32

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Solution

The fourth proportional to 14,533.92, 21,785.76 and 6,736.32 is: 10,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.92 : 21,785.76 = 6,736.32 : x
  2. Step 2: Convert to fraction form
    14,533.92/21,785.76 = 6,736.32/x
  3. Step 3: Cross multiply
    14,533.92x = 21,785.76 × 6,736.32
  4. Step 4: Simplify right side
    14,533.92x = 146,755,850.80
  5. Step 5: Solve for x
    x = 146,755,850.80/14,533.92
  6. Step 6: Final answer
    x = 10,097.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.