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Finding the Fourth Proportional to 6,897.48, 10,350.62 and 3,001

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Solution

The fourth proportional to 6,897.48, 10,350.62 and 3,001 is: 4,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.48 : 10,350.62 = 3,001 : x
  2. Step 2: Convert to fraction form
    6,897.48/10,350.62 = 3,001/x
  3. Step 3: Cross multiply
    6,897.48x = 10,350.62 × 3,001
  4. Step 4: Simplify right side
    6,897.48x = 31,062,210.62
  5. Step 5: Solve for x
    x = 31,062,210.62/6,897.48
  6. Step 6: Final answer
    x = 4,503.41

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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.