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Finding the Fourth Proportional to 6,267.56, 8,649.24 and 3,473

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Solution

The fourth proportional to 6,267.56, 8,649.24 and 3,473 is: 4,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.56 : 8,649.24 = 3,473 : x
  2. Step 2: Convert to fraction form
    6,267.56/8,649.24 = 3,473/x
  3. Step 3: Cross multiply
    6,267.56x = 8,649.24 × 3,473
  4. Step 4: Simplify right side
    6,267.56x = 30,038,810.52
  5. Step 5: Solve for x
    x = 30,038,810.52/6,267.56
  6. Step 6: Final answer
    x = 4,792.74

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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.