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Finding the Fourth Proportional to 17,615.68, 24,310.94 and 9,658.64

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Solution

The fourth proportional to 17,615.68, 24,310.94 and 9,658.64 is: 13,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615.68 : 24,310.94 = 9,658.64 : x
  2. Step 2: Convert to fraction form
    17,615.68/24,310.94 = 9,658.64/x
  3. Step 3: Cross multiply
    17,615.68x = 24,310.94 × 9,658.64
  4. Step 4: Simplify right side
    17,615.68x = 234,810,630.01
  5. Step 5: Solve for x
    x = 234,810,630.01/17,615.68
  6. Step 6: Final answer
    x = 13,329.64

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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.