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Finding the Fourth Proportional to 6,897.42, 10,346.54 and 2,152.94

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Solution

The fourth proportional to 6,897.42, 10,346.54 and 2,152.94 is: 3,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.42 : 10,346.54 = 2,152.94 : x
  2. Step 2: Convert to fraction form
    6,897.42/10,346.54 = 2,152.94/x
  3. Step 3: Cross multiply
    6,897.42x = 10,346.54 × 2,152.94
  4. Step 4: Simplify right side
    6,897.42x = 22,275,417.33
  5. Step 5: Solve for x
    x = 22,275,417.33/6,897.42
  6. Step 6: Final answer
    x = 3,229.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.