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Finding the Fourth Proportional to 14,874.75, 22,312.13 and 5,640.75

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Solution

The fourth proportional to 14,874.75, 22,312.13 and 5,640.75 is: 8,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.75 : 22,312.13 = 5,640.75 : x
  2. Step 2: Convert to fraction form
    14,874.75/22,312.13 = 5,640.75/x
  3. Step 3: Cross multiply
    14,874.75x = 22,312.13 × 5,640.75
  4. Step 4: Simplify right side
    14,874.75x = 125,857,119.09
  5. Step 5: Solve for x
    x = 125,857,119.09/14,874.75
  6. Step 6: Final answer
    x = 8,461.13

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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.