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Finding the Fourth Proportional to 6,406.81, 9,613.18 and 2,709.90

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Solution

The fourth proportional to 6,406.81, 9,613.18 and 2,709.90 is: 4,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.81 : 9,613.18 = 2,709.90 : x
  2. Step 2: Convert to fraction form
    6,406.81/9,613.18 = 2,709.90/x
  3. Step 3: Cross multiply
    6,406.81x = 9,613.18 × 2,709.90
  4. Step 4: Simplify right side
    6,406.81x = 26,050,756.48
  5. Step 5: Solve for x
    x = 26,050,756.48/6,406.81
  6. Step 6: Final answer
    x = 4,066.10

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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.