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Finding the Fourth Proportional to 6,230, 9,345.04 and 1,613.04

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Solution

The fourth proportional to 6,230, 9,345.04 and 1,613.04 is: 2,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230 : 9,345.04 = 1,613.04 : x
  2. Step 2: Convert to fraction form
    6,230/9,345.04 = 1,613.04/x
  3. Step 3: Cross multiply
    6,230x = 9,345.04 × 1,613.04
  4. Step 4: Simplify right side
    6,230x = 15,073,923.32
  5. Step 5: Solve for x
    x = 15,073,923.32/6,230
  6. Step 6: Final answer
    x = 2,419.57

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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.