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Finding the Fourth Proportional to 6,897.42, 10,346.18 and 1,967.06

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Solution

The fourth proportional to 6,897.42, 10,346.18 and 1,967.06 is: 2,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.42 : 10,346.18 = 1,967.06 : x
  2. Step 2: Convert to fraction form
    6,897.42/10,346.18 = 1,967.06/x
  3. Step 3: Cross multiply
    6,897.42x = 10,346.18 × 1,967.06
  4. Step 4: Simplify right side
    6,897.42x = 20,351,510.02
  5. Step 5: Solve for x
    x = 20,351,510.02/6,897.42
  6. Step 6: Final answer
    x = 2,950.60

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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.