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Finding the Fourth Proportional to 11,706.80, 17,525.59 and 7,534.49

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Solution

The fourth proportional to 11,706.80, 17,525.59 and 7,534.49 is: 11,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.80 : 17,525.59 = 7,534.49 : x
  2. Step 2: Convert to fraction form
    11,706.80/17,525.59 = 7,534.49/x
  3. Step 3: Cross multiply
    11,706.80x = 17,525.59 × 7,534.49
  4. Step 4: Simplify right side
    11,706.80x = 132,046,276.13
  5. Step 5: Solve for x
    x = 132,046,276.13/11,706.80
  6. Step 6: Final answer
    x = 11,279.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.