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Finding the Fourth Proportional to 11,597.90, 17,422.78 and 11,160.50

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Solution

The fourth proportional to 11,597.90, 17,422.78 and 11,160.50 is: 16,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.90 : 17,422.78 = 11,160.50 : x
  2. Step 2: Convert to fraction form
    11,597.90/17,422.78 = 11,160.50/x
  3. Step 3: Cross multiply
    11,597.90x = 17,422.78 × 11,160.50
  4. Step 4: Simplify right side
    11,597.90x = 194,446,936.19
  5. Step 5: Solve for x
    x = 194,446,936.19/11,597.90
  6. Step 6: Final answer
    x = 16,765.70

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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.