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Finding the Fourth Proportional to 6,465.14, 8,921.91 and 3,670.64

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Solution

The fourth proportional to 6,465.14, 8,921.91 and 3,670.64 is: 5,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.14 : 8,921.91 = 3,670.64 : x
  2. Step 2: Convert to fraction form
    6,465.14/8,921.91 = 3,670.64/x
  3. Step 3: Cross multiply
    6,465.14x = 8,921.91 × 3,670.64
  4. Step 4: Simplify right side
    6,465.14x = 32,749,101.37
  5. Step 5: Solve for x
    x = 32,749,101.37/6,465.14
  6. Step 6: Final answer
    x = 5,065.49

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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.