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Finding the Fourth Proportional to 12,309.50, 16,987.11 and 6,720.50

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Solution

The fourth proportional to 12,309.50, 16,987.11 and 6,720.50 is: 9,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.50 : 16,987.11 = 6,720.50 : x
  2. Step 2: Convert to fraction form
    12,309.50/16,987.11 = 6,720.50/x
  3. Step 3: Cross multiply
    12,309.50x = 16,987.11 × 6,720.50
  4. Step 4: Simplify right side
    12,309.50x = 114,161,872.76
  5. Step 5: Solve for x
    x = 114,161,872.76/12,309.50
  6. Step 6: Final answer
    x = 9,274.29

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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.