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Finding the Fourth Proportional to 17,597.25, 24,284.31 and 9,639.54

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Solution

The fourth proportional to 17,597.25, 24,284.31 and 9,639.54 is: 13,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597.25 : 24,284.31 = 9,639.54 : x
  2. Step 2: Convert to fraction form
    17,597.25/24,284.31 = 9,639.54/x
  3. Step 3: Cross multiply
    17,597.25x = 24,284.31 × 9,639.54
  4. Step 4: Simplify right side
    17,597.25x = 234,089,577.62
  5. Step 5: Solve for x
    x = 234,089,577.62/17,597.25
  6. Step 6: Final answer
    x = 13,302.62

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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.