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Finding the Fourth Proportional to 16,455, 22,707.96 and 11,495.64

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Solution

The fourth proportional to 16,455, 22,707.96 and 11,495.64 is: 15,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455 : 22,707.96 = 11,495.64 : x
  2. Step 2: Convert to fraction form
    16,455/22,707.96 = 11,495.64/x
  3. Step 3: Cross multiply
    16,455x = 22,707.96 × 11,495.64
  4. Step 4: Simplify right side
    16,455x = 261,042,533.29
  5. Step 5: Solve for x
    x = 261,042,533.29/16,455
  6. Step 6: Final answer
    x = 15,864.03

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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.