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Finding the Fourth Proportional to 11,478.30, 17,233.65 and 7,104.30

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Solution

The fourth proportional to 11,478.30, 17,233.65 and 7,104.30 is: 10,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.30 : 17,233.65 = 7,104.30 : x
  2. Step 2: Convert to fraction form
    11,478.30/17,233.65 = 7,104.30/x
  3. Step 3: Cross multiply
    11,478.30x = 17,233.65 × 7,104.30
  4. Step 4: Simplify right side
    11,478.30x = 122,433,019.70
  5. Step 5: Solve for x
    x = 122,433,019.70/11,478.30
  6. Step 6: Final answer
    x = 10,666.48

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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.