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Finding the Fourth Proportional to 6,573, 9,070.74 and 3,629

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Solution

The fourth proportional to 6,573, 9,070.74 and 3,629 is: 5,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573 : 9,070.74 = 3,629 : x
  2. Step 2: Convert to fraction form
    6,573/9,070.74 = 3,629/x
  3. Step 3: Cross multiply
    6,573x = 9,070.74 × 3,629
  4. Step 4: Simplify right side
    6,573x = 32,917,715.46
  5. Step 5: Solve for x
    x = 32,917,715.46/6,573
  6. Step 6: Final answer
    x = 5,008.02

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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.