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Finding the Fourth Proportional to 6,846.90, 10,254.15 and 4,643.70

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Solution

The fourth proportional to 6,846.90, 10,254.15 and 4,643.70 is: 6,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.90 : 10,254.15 = 4,643.70 : x
  2. Step 2: Convert to fraction form
    6,846.90/10,254.15 = 4,643.70/x
  3. Step 3: Cross multiply
    6,846.90x = 10,254.15 × 4,643.70
  4. Step 4: Simplify right side
    6,846.90x = 47,617,196.36
  5. Step 5: Solve for x
    x = 47,617,196.36/6,846.90
  6. Step 6: Final answer
    x = 6,954.56

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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.