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Finding the Fourth Proportional to 12,135.46, 16,738.77 and 7,411.54

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Solution

The fourth proportional to 12,135.46, 16,738.77 and 7,411.54 is: 10,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.46 : 16,738.77 = 7,411.54 : x
  2. Step 2: Convert to fraction form
    12,135.46/16,738.77 = 7,411.54/x
  3. Step 3: Cross multiply
    12,135.46x = 16,738.77 × 7,411.54
  4. Step 4: Simplify right side
    12,135.46x = 124,060,063.41
  5. Step 5: Solve for x
    x = 124,060,063.41/12,135.46
  6. Step 6: Final answer
    x = 10,222.94

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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.