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Finding the Fourth Proportional to 6,071.98, 9,106.11 and 1,689.76

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Solution

The fourth proportional to 6,071.98, 9,106.11 and 1,689.76 is: 2,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.98 : 9,106.11 = 1,689.76 : x
  2. Step 2: Convert to fraction form
    6,071.98/9,106.11 = 1,689.76/x
  3. Step 3: Cross multiply
    6,071.98x = 9,106.11 × 1,689.76
  4. Step 4: Simplify right side
    6,071.98x = 15,387,140.43
  5. Step 5: Solve for x
    x = 15,387,140.43/6,071.98
  6. Step 6: Final answer
    x = 2,534.12

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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.