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Finding the Fourth Proportional to 11,686.88, 17,530.48 and 6,525.60

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Solution

The fourth proportional to 11,686.88, 17,530.48 and 6,525.60 is: 9,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.88 : 17,530.48 = 6,525.60 : x
  2. Step 2: Convert to fraction form
    11,686.88/17,530.48 = 6,525.60/x
  3. Step 3: Cross multiply
    11,686.88x = 17,530.48 × 6,525.60
  4. Step 4: Simplify right side
    11,686.88x = 114,396,900.29
  5. Step 5: Solve for x
    x = 114,396,900.29/11,686.88
  6. Step 6: Final answer
    x = 9,788.49

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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.