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Finding the Fourth Proportional to 17,697, 24,425.10 and 10,245

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Solution

The fourth proportional to 17,697, 24,425.10 and 10,245 is: 14,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697 : 24,425.10 = 10,245 : x
  2. Step 2: Convert to fraction form
    17,697/24,425.10 = 10,245/x
  3. Step 3: Cross multiply
    17,697x = 24,425.10 × 10,245
  4. Step 4: Simplify right side
    17,697x = 250,235,149.50
  5. Step 5: Solve for x
    x = 250,235,149.50/17,697
  6. Step 6: Final answer
    x = 14,139.98

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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.