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Finding the Fourth Proportional to 6,575.67, 9,851.64 and 3,610.91

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Solution

The fourth proportional to 6,575.67, 9,851.64 and 3,610.91 is: 5,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.67 : 9,851.64 = 3,610.91 : x
  2. Step 2: Convert to fraction form
    6,575.67/9,851.64 = 3,610.91/x
  3. Step 3: Cross multiply
    6,575.67x = 9,851.64 × 3,610.91
  4. Step 4: Simplify right side
    6,575.67x = 35,573,336.13
  5. Step 5: Solve for x
    x = 35,573,336.13/6,575.67
  6. Step 6: Final answer
    x = 5,409.84

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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.