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Finding the Fourth Proportional to 12,706.56, 17,534.03 and 7,041.56

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Solution

The fourth proportional to 12,706.56, 17,534.03 and 7,041.56 is: 9,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.56 : 17,534.03 = 7,041.56 : x
  2. Step 2: Convert to fraction form
    12,706.56/17,534.03 = 7,041.56/x
  3. Step 3: Cross multiply
    12,706.56x = 17,534.03 × 7,041.56
  4. Step 4: Simplify right side
    12,706.56x = 123,466,801.41
  5. Step 5: Solve for x
    x = 123,466,801.41/12,706.56
  6. Step 6: Final answer
    x = 9,716.78

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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.