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Finding the Fourth Proportional to 12,570.97, 17,346.66 and 7,267.51

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Solution

The fourth proportional to 12,570.97, 17,346.66 and 7,267.51 is: 10,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.97 : 17,346.66 = 7,267.51 : x
  2. Step 2: Convert to fraction form
    12,570.97/17,346.66 = 7,267.51/x
  3. Step 3: Cross multiply
    12,570.97x = 17,346.66 × 7,267.51
  4. Step 4: Simplify right side
    12,570.97x = 126,067,025.02
  5. Step 5: Solve for x
    x = 126,067,025.02/12,570.97
  6. Step 6: Final answer
    x = 10,028.42

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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.