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Finding the Fourth Proportional to 10,675.80, 14,731.98 and 7,138.44

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Solution

The fourth proportional to 10,675.80, 14,731.98 and 7,138.44 is: 9,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.80 : 14,731.98 = 7,138.44 : x
  2. Step 2: Convert to fraction form
    10,675.80/14,731.98 = 7,138.44/x
  3. Step 3: Cross multiply
    10,675.80x = 14,731.98 × 7,138.44
  4. Step 4: Simplify right side
    10,675.80x = 105,163,355.31
  5. Step 5: Solve for x
    x = 105,163,355.31/10,675.80
  6. Step 6: Final answer
    x = 9,850.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.