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Finding the Fourth Proportional to 10,858.92, 14,969.22 and 7,661.79

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Solution

The fourth proportional to 10,858.92, 14,969.22 and 7,661.79 is: 10,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.92 : 14,969.22 = 7,661.79 : x
  2. Step 2: Convert to fraction form
    10,858.92/14,969.22 = 7,661.79/x
  3. Step 3: Cross multiply
    10,858.92x = 14,969.22 × 7,661.79
  4. Step 4: Simplify right side
    10,858.92x = 114,691,020.10
  5. Step 5: Solve for x
    x = 114,691,020.10/10,858.92
  6. Step 6: Final answer
    x = 10,561.92

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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.