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Finding the Fourth Proportional to 12,362.06, 18,543.14 and 3,002.06

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Solution

The fourth proportional to 12,362.06, 18,543.14 and 3,002.06 is: 4,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.06 : 18,543.14 = 3,002.06 : x
  2. Step 2: Convert to fraction form
    12,362.06/18,543.14 = 3,002.06/x
  3. Step 3: Cross multiply
    12,362.06x = 18,543.14 × 3,002.06
  4. Step 4: Simplify right side
    12,362.06x = 55,667,618.87
  5. Step 5: Solve for x
    x = 55,667,618.87/12,362.06
  6. Step 6: Final answer
    x = 4,503.10

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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.