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Finding the Fourth Proportional to 6,756.39, 9,322.16 and 4,103.64

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Solution

The fourth proportional to 6,756.39, 9,322.16 and 4,103.64 is: 5,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.39 : 9,322.16 = 4,103.64 : x
  2. Step 2: Convert to fraction form
    6,756.39/9,322.16 = 4,103.64/x
  3. Step 3: Cross multiply
    6,756.39x = 9,322.16 × 4,103.64
  4. Step 4: Simplify right side
    6,756.39x = 38,254,768.14
  5. Step 5: Solve for x
    x = 38,254,768.14/6,756.39
  6. Step 6: Final answer
    x = 5,662.01

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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.