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Finding the Fourth Proportional to 10,974.62, 15,145.02 and 6,194.61

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Solution

The fourth proportional to 10,974.62, 15,145.02 and 6,194.61 is: 8,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.62 : 15,145.02 = 6,194.61 : x
  2. Step 2: Convert to fraction form
    10,974.62/15,145.02 = 6,194.61/x
  3. Step 3: Cross multiply
    10,974.62x = 15,145.02 × 6,194.61
  4. Step 4: Simplify right side
    10,974.62x = 93,817,492.34
  5. Step 5: Solve for x
    x = 93,817,492.34/10,974.62
  6. Step 6: Final answer
    x = 8,548.58

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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.