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Finding the Fourth Proportional to 11,599.68, 17,404.56 and 9,952.32

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Solution

The fourth proportional to 11,599.68, 17,404.56 and 9,952.32 is: 14,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.68 : 17,404.56 = 9,952.32 : x
  2. Step 2: Convert to fraction form
    11,599.68/17,404.56 = 9,952.32/x
  3. Step 3: Cross multiply
    11,599.68x = 17,404.56 × 9,952.32
  4. Step 4: Simplify right side
    11,599.68x = 173,215,750.58
  5. Step 5: Solve for x
    x = 173,215,750.58/11,599.68
  6. Step 6: Final answer
    x = 14,932.80

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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.