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Finding the Fourth Proportional to 12,203.51, 18,315.90 and 5,968.13

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Solution

The fourth proportional to 12,203.51, 18,315.90 and 5,968.13 is: 8,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.51 : 18,315.90 = 5,968.13 : x
  2. Step 2: Convert to fraction form
    12,203.51/18,315.90 = 5,968.13/x
  3. Step 3: Cross multiply
    12,203.51x = 18,315.90 × 5,968.13
  4. Step 4: Simplify right side
    12,203.51x = 109,311,580.69
  5. Step 5: Solve for x
    x = 109,311,580.69/12,203.51
  6. Step 6: Final answer
    x = 8,957.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.