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Finding the Fourth Proportional to 6,956.76, 10,435.14 and 4,215

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Solution

The fourth proportional to 6,956.76, 10,435.14 and 4,215 is: 6,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.76 : 10,435.14 = 4,215 : x
  2. Step 2: Convert to fraction form
    6,956.76/10,435.14 = 4,215/x
  3. Step 3: Cross multiply
    6,956.76x = 10,435.14 × 4,215
  4. Step 4: Simplify right side
    6,956.76x = 43,984,115.10
  5. Step 5: Solve for x
    x = 43,984,115.10/6,956.76
  6. Step 6: Final answer
    x = 6,322.50

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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.