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Finding the Fourth Proportional to 11,597.67, 17,390.68 and 5,675

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Solution

The fourth proportional to 11,597.67, 17,390.68 and 5,675 is: 8,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.67 : 17,390.68 = 5,675 : x
  2. Step 2: Convert to fraction form
    11,597.67/17,390.68 = 5,675/x
  3. Step 3: Cross multiply
    11,597.67x = 17,390.68 × 5,675
  4. Step 4: Simplify right side
    11,597.67x = 98,692,109
  5. Step 5: Solve for x
    x = 98,692,109/11,597.67
  6. Step 6: Final answer
    x = 8,509.65

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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.