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Finding the Fourth Proportional to 11,925.89, 16,460.94 and 7,446.95

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Solution

The fourth proportional to 11,925.89, 16,460.94 and 7,446.95 is: 10,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.89 : 16,460.94 = 7,446.95 : x
  2. Step 2: Convert to fraction form
    11,925.89/16,460.94 = 7,446.95/x
  3. Step 3: Cross multiply
    11,925.89x = 16,460.94 × 7,446.95
  4. Step 4: Simplify right side
    11,925.89x = 122,583,797.13
  5. Step 5: Solve for x
    x = 122,583,797.13/11,925.89
  6. Step 6: Final answer
    x = 10,278.80

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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.