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Finding the Fourth Proportional to 6,573.87, 9,071.92 and 4,216

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Solution

The fourth proportional to 6,573.87, 9,071.92 and 4,216 is: 5,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.87 : 9,071.92 = 4,216 : x
  2. Step 2: Convert to fraction form
    6,573.87/9,071.92 = 4,216/x
  3. Step 3: Cross multiply
    6,573.87x = 9,071.92 × 4,216
  4. Step 4: Simplify right side
    6,573.87x = 38,247,214.72
  5. Step 5: Solve for x
    x = 38,247,214.72/6,573.87
  6. Step 6: Final answer
    x = 5,818.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.