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Finding the Fourth Proportional to 12,373.15, 18,545.78 and 6,137.63

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Solution

The fourth proportional to 12,373.15, 18,545.78 and 6,137.63 is: 9,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.15 : 18,545.78 = 6,137.63 : x
  2. Step 2: Convert to fraction form
    12,373.15/18,545.78 = 6,137.63/x
  3. Step 3: Cross multiply
    12,373.15x = 18,545.78 × 6,137.63
  4. Step 4: Simplify right side
    12,373.15x = 113,827,197.41
  5. Step 5: Solve for x
    x = 113,827,197.41/12,373.15
  6. Step 6: Final answer
    x = 9,199.53

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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.