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Finding the Fourth Proportional to 12,343.77, 18,506.08 and 6,099.48

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Solution

The fourth proportional to 12,343.77, 18,506.08 and 6,099.48 is: 9,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.77 : 18,506.08 = 6,099.48 : x
  2. Step 2: Convert to fraction form
    12,343.77/18,506.08 = 6,099.48/x
  3. Step 3: Cross multiply
    12,343.77x = 18,506.08 × 6,099.48
  4. Step 4: Simplify right side
    12,343.77x = 112,877,464.84
  5. Step 5: Solve for x
    x = 112,877,464.84/12,343.77
  6. Step 6: Final answer
    x = 9,144.49

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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.