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Finding the Fourth Proportional to 6,892.06, 10,332.04 and 2,735

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Solution

The fourth proportional to 6,892.06, 10,332.04 and 2,735 is: 4,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.06 : 10,332.04 = 2,735 : x
  2. Step 2: Convert to fraction form
    6,892.06/10,332.04 = 2,735/x
  3. Step 3: Cross multiply
    6,892.06x = 10,332.04 × 2,735
  4. Step 4: Simplify right side
    6,892.06x = 28,258,129.40
  5. Step 5: Solve for x
    x = 28,258,129.40/6,892.06
  6. Step 6: Final answer
    x = 4,100.10

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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.