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Finding the Fourth Proportional to 7,575.76, 11,352.12 and 6,790.48

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Solution

The fourth proportional to 7,575.76, 11,352.12 and 6,790.48 is: 10,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.76 : 11,352.12 = 6,790.48 : x
  2. Step 2: Convert to fraction form
    7,575.76/11,352.12 = 6,790.48/x
  3. Step 3: Cross multiply
    7,575.76x = 11,352.12 × 6,790.48
  4. Step 4: Simplify right side
    7,575.76x = 77,086,343.82
  5. Step 5: Solve for x
    x = 77,086,343.82/7,575.76
  6. Step 6: Final answer
    x = 10,175.39

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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.