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Finding the Fourth Proportional to 6,527.72, 9,788.36 and 2,367.10

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Solution

The fourth proportional to 6,527.72, 9,788.36 and 2,367.10 is: 3,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.72 : 9,788.36 = 2,367.10 : x
  2. Step 2: Convert to fraction form
    6,527.72/9,788.36 = 2,367.10/x
  3. Step 3: Cross multiply
    6,527.72x = 9,788.36 × 2,367.10
  4. Step 4: Simplify right side
    6,527.72x = 23,170,026.96
  5. Step 5: Solve for x
    x = 23,170,026.96/6,527.72
  6. Step 6: Final answer
    x = 3,549.49

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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.