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Finding the Fourth Proportional to 10,495.51, 14,471.81 and 7,838.44

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Solution

The fourth proportional to 10,495.51, 14,471.81 and 7,838.44 is: 10,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.51 : 14,471.81 = 7,838.44 : x
  2. Step 2: Convert to fraction form
    10,495.51/14,471.81 = 7,838.44/x
  3. Step 3: Cross multiply
    10,495.51x = 14,471.81 × 7,838.44
  4. Step 4: Simplify right side
    10,495.51x = 113,436,375.18
  5. Step 5: Solve for x
    x = 113,436,375.18/10,495.51
  6. Step 6: Final answer
    x = 10,808.09

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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.