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Finding the Fourth Proportional to 6,901, 10,353.12 and 2,284

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Solution

The fourth proportional to 6,901, 10,353.12 and 2,284 is: 3,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901 : 10,353.12 = 2,284 : x
  2. Step 2: Convert to fraction form
    6,901/10,353.12 = 2,284/x
  3. Step 3: Cross multiply
    6,901x = 10,353.12 × 2,284
  4. Step 4: Simplify right side
    6,901x = 23,646,526.08
  5. Step 5: Solve for x
    x = 23,646,526.08/6,901
  6. Step 6: Final answer
    x = 3,426.54

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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.