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Finding the Fourth Proportional to 12,654.97, 17,464.82 and 9,313.11

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Solution

The fourth proportional to 12,654.97, 17,464.82 and 9,313.11 is: 12,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.97 : 17,464.82 = 9,313.11 : x
  2. Step 2: Convert to fraction form
    12,654.97/17,464.82 = 9,313.11/x
  3. Step 3: Cross multiply
    12,654.97x = 17,464.82 × 9,313.11
  4. Step 4: Simplify right side
    12,654.97x = 162,651,743.22
  5. Step 5: Solve for x
    x = 162,651,743.22/12,654.97
  6. Step 6: Final answer
    x = 12,852.80

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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.