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Finding the Fourth Proportional to 6,956.76, 10,421.23 and 4,181.91

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Solution

The fourth proportional to 6,956.76, 10,421.23 and 4,181.91 is: 6,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.76 : 10,421.23 = 4,181.91 : x
  2. Step 2: Convert to fraction form
    6,956.76/10,421.23 = 4,181.91/x
  3. Step 3: Cross multiply
    6,956.76x = 10,421.23 × 4,181.91
  4. Step 4: Simplify right side
    6,956.76x = 43,580,635.49
  5. Step 5: Solve for x
    x = 43,580,635.49/6,956.76
  6. Step 6: Final answer
    x = 6,264.50

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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.