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Finding the Fourth Proportional to 14,627.91, 20,186.43 and 7,913.49

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Solution

The fourth proportional to 14,627.91, 20,186.43 and 7,913.49 is: 10,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627.91 : 20,186.43 = 7,913.49 : x
  2. Step 2: Convert to fraction form
    14,627.91/20,186.43 = 7,913.49/x
  3. Step 3: Cross multiply
    14,627.91x = 20,186.43 × 7,913.49
  4. Step 4: Simplify right side
    14,627.91x = 159,745,111.94
  5. Step 5: Solve for x
    x = 159,745,111.94/14,627.91
  6. Step 6: Final answer
    x = 10,920.57

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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.