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Finding the Fourth Proportional to 6,465.69, 9,700.56 and 2,719.44

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Solution

The fourth proportional to 6,465.69, 9,700.56 and 2,719.44 is: 4,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.69 : 9,700.56 = 2,719.44 : x
  2. Step 2: Convert to fraction form
    6,465.69/9,700.56 = 2,719.44/x
  3. Step 3: Cross multiply
    6,465.69x = 9,700.56 × 2,719.44
  4. Step 4: Simplify right side
    6,465.69x = 26,380,090.89
  5. Step 5: Solve for x
    x = 26,380,090.89/6,465.69
  6. Step 6: Final answer
    x = 4,080.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.