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Finding the Fourth Proportional to 11,925.94, 17,869.46 and 6,074.50

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Solution

The fourth proportional to 11,925.94, 17,869.46 and 6,074.50 is: 9,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.94 : 17,869.46 = 6,074.50 : x
  2. Step 2: Convert to fraction form
    11,925.94/17,869.46 = 6,074.50/x
  3. Step 3: Cross multiply
    11,925.94x = 17,869.46 × 6,074.50
  4. Step 4: Simplify right side
    11,925.94x = 108,548,034.77
  5. Step 5: Solve for x
    x = 108,548,034.77/11,925.94
  6. Step 6: Final answer
    x = 9,101.84

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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.