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Finding the Fourth Proportional to 6,573, 9,070.74 and 3,780.12

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Solution

The fourth proportional to 6,573, 9,070.74 and 3,780.12 is: 5,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573 : 9,070.74 = 3,780.12 : x
  2. Step 2: Convert to fraction form
    6,573/9,070.74 = 3,780.12/x
  3. Step 3: Cross multiply
    6,573x = 9,070.74 × 3,780.12
  4. Step 4: Simplify right side
    6,573x = 34,288,485.69
  5. Step 5: Solve for x
    x = 34,288,485.69/6,573
  6. Step 6: Final answer
    x = 5,216.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.