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Finding the Fourth Proportional to 6,951.84, 10,417.29 and 4,175.46

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Solution

The fourth proportional to 6,951.84, 10,417.29 and 4,175.46 is: 6,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.84 : 10,417.29 = 4,175.46 : x
  2. Step 2: Convert to fraction form
    6,951.84/10,417.29 = 4,175.46/x
  3. Step 3: Cross multiply
    6,951.84x = 10,417.29 × 4,175.46
  4. Step 4: Simplify right side
    6,951.84x = 43,496,977.70
  5. Step 5: Solve for x
    x = 43,496,977.70/6,951.84
  6. Step 6: Final answer
    x = 6,256.90

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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.