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Finding the Fourth Proportional to 9,460.82, 13,056.03 and 5,926.11

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Solution

The fourth proportional to 9,460.82, 13,056.03 and 5,926.11 is: 8,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.82 : 13,056.03 = 5,926.11 : x
  2. Step 2: Convert to fraction form
    9,460.82/13,056.03 = 5,926.11/x
  3. Step 3: Cross multiply
    9,460.82x = 13,056.03 × 5,926.11
  4. Step 4: Simplify right side
    9,460.82x = 77,371,469.94
  5. Step 5: Solve for x
    x = 77,371,469.94/9,460.82
  6. Step 6: Final answer
    x = 8,178.09

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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.