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Finding the Fourth Proportional to 6,573.28, 9,070 and 3,778.72

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Solution

The fourth proportional to 6,573.28, 9,070 and 3,778.72 is: 5,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.28 : 9,070 = 3,778.72 : x
  2. Step 2: Convert to fraction form
    6,573.28/9,070 = 3,778.72/x
  3. Step 3: Cross multiply
    6,573.28x = 9,070 × 3,778.72
  4. Step 4: Simplify right side
    6,573.28x = 34,272,990.40
  5. Step 5: Solve for x
    x = 34,272,990.40/6,573.28
  6. Step 6: Final answer
    x = 5,213.99

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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.