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Finding the Fourth Proportional to 22,280.57, 30,745.85 and 12,207

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Solution

The fourth proportional to 22,280.57, 30,745.85 and 12,207 is: 16,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.57 : 30,745.85 = 12,207 : x
  2. Step 2: Convert to fraction form
    22,280.57/30,745.85 = 12,207/x
  3. Step 3: Cross multiply
    22,280.57x = 30,745.85 × 12,207
  4. Step 4: Simplify right side
    22,280.57x = 375,314,529.92
  5. Step 5: Solve for x
    x = 375,314,529.92/22,280.57
  6. Step 6: Final answer
    x = 16,844.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.