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Finding the Fourth Proportional to 10,605.14, 14,635.22 and 5,824.38

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Solution

The fourth proportional to 10,605.14, 14,635.22 and 5,824.38 is: 8,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.14 : 14,635.22 = 5,824.38 : x
  2. Step 2: Convert to fraction form
    10,605.14/14,635.22 = 5,824.38/x
  3. Step 3: Cross multiply
    10,605.14x = 14,635.22 × 5,824.38
  4. Step 4: Simplify right side
    10,605.14x = 85,241,053.54
  5. Step 5: Solve for x
    x = 85,241,053.54/10,605.14
  6. Step 6: Final answer
    x = 8,037.72

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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.