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Finding the Fourth Proportional to 12,083.20, 18,124.08 and 7,184.02

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Solution

The fourth proportional to 12,083.20, 18,124.08 and 7,184.02 is: 10,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.20 : 18,124.08 = 7,184.02 : x
  2. Step 2: Convert to fraction form
    12,083.20/18,124.08 = 7,184.02/x
  3. Step 3: Cross multiply
    12,083.20x = 18,124.08 × 7,184.02
  4. Step 4: Simplify right side
    12,083.20x = 130,203,684.17
  5. Step 5: Solve for x
    x = 130,203,684.17/12,083.20
  6. Step 6: Final answer
    x = 10,775.60

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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.