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Finding the Fourth Proportional to 6,957.84, 10,438.29 and 2,027.64

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Solution

The fourth proportional to 6,957.84, 10,438.29 and 2,027.64 is: 3,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.84 : 10,438.29 = 2,027.64 : x
  2. Step 2: Convert to fraction form
    6,957.84/10,438.29 = 2,027.64/x
  3. Step 3: Cross multiply
    6,957.84x = 10,438.29 × 2,027.64
  4. Step 4: Simplify right side
    6,957.84x = 21,165,094.34
  5. Step 5: Solve for x
    x = 21,165,094.34/6,957.84
  6. Step 6: Final answer
    x = 3,041.91

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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.