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Finding the Fourth Proportional to 6,508.68, 9,756 and 3,214.68

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Solution

The fourth proportional to 6,508.68, 9,756 and 3,214.68 is: 4,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.68 : 9,756 = 3,214.68 : x
  2. Step 2: Convert to fraction form
    6,508.68/9,756 = 3,214.68/x
  3. Step 3: Cross multiply
    6,508.68x = 9,756 × 3,214.68
  4. Step 4: Simplify right side
    6,508.68x = 31,362,418.08
  5. Step 5: Solve for x
    x = 31,362,418.08/6,508.68
  6. Step 6: Final answer
    x = 4,818.55

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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.