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Finding the Fourth Proportional to 6,098.10, 9,146.67 and 1,715.70

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Solution

The fourth proportional to 6,098.10, 9,146.67 and 1,715.70 is: 2,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.10 : 9,146.67 = 1,715.70 : x
  2. Step 2: Convert to fraction form
    6,098.10/9,146.67 = 1,715.70/x
  3. Step 3: Cross multiply
    6,098.10x = 9,146.67 × 1,715.70
  4. Step 4: Simplify right side
    6,098.10x = 15,692,941.72
  5. Step 5: Solve for x
    x = 15,692,941.72/6,098.10
  6. Step 6: Final answer
    x = 2,573.41

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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.