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Finding the Fourth Proportional to 6,874.56, 9,486.90 and 3,730.76

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Solution

The fourth proportional to 6,874.56, 9,486.90 and 3,730.76 is: 5,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.56 : 9,486.90 = 3,730.76 : x
  2. Step 2: Convert to fraction form
    6,874.56/9,486.90 = 3,730.76/x
  3. Step 3: Cross multiply
    6,874.56x = 9,486.90 × 3,730.76
  4. Step 4: Simplify right side
    6,874.56x = 35,393,347.04
  5. Step 5: Solve for x
    x = 35,393,347.04/6,874.56
  6. Step 6: Final answer
    x = 5,148.45

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1.5x scale

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.