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Finding the Fourth Proportional to 6,734.72, 9,303.68 and 4,976

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Solution

The fourth proportional to 6,734.72, 9,303.68 and 4,976 is: 6,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.72 : 9,303.68 = 4,976 : x
  2. Step 2: Convert to fraction form
    6,734.72/9,303.68 = 4,976/x
  3. Step 3: Cross multiply
    6,734.72x = 9,303.68 × 4,976
  4. Step 4: Simplify right side
    6,734.72x = 46,295,111.68
  5. Step 5: Solve for x
    x = 46,295,111.68/6,734.72
  6. Step 6: Final answer
    x = 6,874.10

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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.