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Finding the Fourth Proportional to 6,655.08, 9,184.06 and 3,671

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Solution

The fourth proportional to 6,655.08, 9,184.06 and 3,671 is: 5,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.08 : 9,184.06 = 3,671 : x
  2. Step 2: Convert to fraction form
    6,655.08/9,184.06 = 3,671/x
  3. Step 3: Cross multiply
    6,655.08x = 9,184.06 × 3,671
  4. Step 4: Simplify right side
    6,655.08x = 33,714,684.26
  5. Step 5: Solve for x
    x = 33,714,684.26/6,655.08
  6. Step 6: Final answer
    x = 5,066.01

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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.