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Finding the Fourth Proportional to 10,180, 14,048.94 and 5,987.44

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Solution

The fourth proportional to 10,180, 14,048.94 and 5,987.44 is: 8,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180 : 14,048.94 = 5,987.44 : x
  2. Step 2: Convert to fraction form
    10,180/14,048.94 = 5,987.44/x
  3. Step 3: Cross multiply
    10,180x = 14,048.94 × 5,987.44
  4. Step 4: Simplify right side
    10,180x = 84,117,185.31
  5. Step 5: Solve for x
    x = 84,117,185.31/10,180
  6. Step 6: Final answer
    x = 8,262.98

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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.