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Finding the Fourth Proportional to 11,654.58, 17,464.58 and 8,561.46

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Solution

The fourth proportional to 11,654.58, 17,464.58 and 8,561.46 is: 12,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.58 : 17,464.58 = 8,561.46 : x
  2. Step 2: Convert to fraction form
    11,654.58/17,464.58 = 8,561.46/x
  3. Step 3: Cross multiply
    11,654.58x = 17,464.58 × 8,561.46
  4. Step 4: Simplify right side
    11,654.58x = 149,522,303.09
  5. Step 5: Solve for x
    x = 149,522,303.09/11,654.58
  6. Step 6: Final answer
    x = 12,829.49

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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.