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Finding the Fourth Proportional to 6,897, 10,346.45 and 3,200.25

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Solution

The fourth proportional to 6,897, 10,346.45 and 3,200.25 is: 4,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897 : 10,346.45 = 3,200.25 : x
  2. Step 2: Convert to fraction form
    6,897/10,346.45 = 3,200.25/x
  3. Step 3: Cross multiply
    6,897x = 10,346.45 × 3,200.25
  4. Step 4: Simplify right side
    6,897x = 33,111,210.61
  5. Step 5: Solve for x
    x = 33,111,210.61/6,897
  6. Step 6: Final answer
    x = 4,800.81

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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.