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Finding the Fourth Proportional to 11,459.40, 17,189.10 and 9,709.80

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Solution

The fourth proportional to 11,459.40, 17,189.10 and 9,709.80 is: 14,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.40 : 17,189.10 = 9,709.80 : x
  2. Step 2: Convert to fraction form
    11,459.40/17,189.10 = 9,709.80/x
  3. Step 3: Cross multiply
    11,459.40x = 17,189.10 × 9,709.80
  4. Step 4: Simplify right side
    11,459.40x = 166,902,723.18
  5. Step 5: Solve for x
    x = 166,902,723.18/11,459.40
  6. Step 6: Final answer
    x = 14,564.70

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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.