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Finding the Fourth Proportional to 11,782.76, 17,680.70 and 10,059.24

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Solution

The fourth proportional to 11,782.76, 17,680.70 and 10,059.24 is: 15,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.76 : 17,680.70 = 10,059.24 : x
  2. Step 2: Convert to fraction form
    11,782.76/17,680.70 = 10,059.24/x
  3. Step 3: Cross multiply
    11,782.76x = 17,680.70 × 10,059.24
  4. Step 4: Simplify right side
    11,782.76x = 177,854,404.67
  5. Step 5: Solve for x
    x = 177,854,404.67/11,782.76
  6. Step 6: Final answer
    x = 15,094.46

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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.