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Finding the Fourth Proportional to 6,969.42, 10,451.43 and 2,585.88

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Solution

The fourth proportional to 6,969.42, 10,451.43 and 2,585.88 is: 3,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.42 : 10,451.43 = 2,585.88 : x
  2. Step 2: Convert to fraction form
    6,969.42/10,451.43 = 2,585.88/x
  3. Step 3: Cross multiply
    6,969.42x = 10,451.43 × 2,585.88
  4. Step 4: Simplify right side
    6,969.42x = 27,026,143.81
  5. Step 5: Solve for x
    x = 27,026,143.81/6,969.42
  6. Step 6: Final answer
    x = 3,877.82

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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.