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Finding the Fourth Proportional to 12,362.10, 18,543.15 and 7,429.20

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Solution

The fourth proportional to 12,362.10, 18,543.15 and 7,429.20 is: 11,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.10 : 18,543.15 = 7,429.20 : x
  2. Step 2: Convert to fraction form
    12,362.10/18,543.15 = 7,429.20/x
  3. Step 3: Cross multiply
    12,362.10x = 18,543.15 × 7,429.20
  4. Step 4: Simplify right side
    12,362.10x = 137,760,769.98
  5. Step 5: Solve for x
    x = 137,760,769.98/12,362.10
  6. Step 6: Final answer
    x = 11,143.80

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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.