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Finding the Fourth Proportional to 11,492.53, 17,244.06 and 6,821.80

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Solution

The fourth proportional to 11,492.53, 17,244.06 and 6,821.80 is: 10,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.53 : 17,244.06 = 6,821.80 : x
  2. Step 2: Convert to fraction form
    11,492.53/17,244.06 = 6,821.80/x
  3. Step 3: Cross multiply
    11,492.53x = 17,244.06 × 6,821.80
  4. Step 4: Simplify right side
    11,492.53x = 117,635,528.51
  5. Step 5: Solve for x
    x = 117,635,528.51/11,492.53
  6. Step 6: Final answer
    x = 10,235.83

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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.