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Finding the Fourth Proportional to 6,352.32, 9,527.77 and 1,672.77

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Solution

The fourth proportional to 6,352.32, 9,527.77 and 1,672.77 is: 2,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.32 : 9,527.77 = 1,672.77 : x
  2. Step 2: Convert to fraction form
    6,352.32/9,527.77 = 1,672.77/x
  3. Step 3: Cross multiply
    6,352.32x = 9,527.77 × 1,672.77
  4. Step 4: Simplify right side
    6,352.32x = 15,937,767.82
  5. Step 5: Solve for x
    x = 15,937,767.82/6,352.32
  6. Step 6: Final answer
    x = 2,508.97

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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.