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Finding the Fourth Proportional to 12,708.17, 17,535.51 and 7,041.51

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Solution

The fourth proportional to 12,708.17, 17,535.51 and 7,041.51 is: 9,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.17 : 17,535.51 = 7,041.51 : x
  2. Step 2: Convert to fraction form
    12,708.17/17,535.51 = 7,041.51/x
  3. Step 3: Cross multiply
    12,708.17x = 17,535.51 × 7,041.51
  4. Step 4: Simplify right side
    12,708.17x = 123,476,469.02
  5. Step 5: Solve for x
    x = 123,476,469.02/12,708.17
  6. Step 6: Final answer
    x = 9,716.31

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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.