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Finding the Fourth Proportional to 9,512.50, 14,256.24 and 8,274.10

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Solution

The fourth proportional to 9,512.50, 14,256.24 and 8,274.10 is: 12,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.50 : 14,256.24 = 8,274.10 : x
  2. Step 2: Convert to fraction form
    9,512.50/14,256.24 = 8,274.10/x
  3. Step 3: Cross multiply
    9,512.50x = 14,256.24 × 8,274.10
  4. Step 4: Simplify right side
    9,512.50x = 117,957,555.38
  5. Step 5: Solve for x
    x = 117,957,555.38/9,512.50
  6. Step 6: Final answer
    x = 12,400.27

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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.