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Finding the Fourth Proportional to 12,568.66, 17,344.97 and 7,265.18

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Solution

The fourth proportional to 12,568.66, 17,344.97 and 7,265.18 is: 10,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.66 : 17,344.97 = 7,265.18 : x
  2. Step 2: Convert to fraction form
    12,568.66/17,344.97 = 7,265.18/x
  3. Step 3: Cross multiply
    12,568.66x = 17,344.97 × 7,265.18
  4. Step 4: Simplify right side
    12,568.66x = 126,014,329.14
  5. Step 5: Solve for x
    x = 126,014,329.14/12,568.66
  6. Step 6: Final answer
    x = 10,026.08

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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.