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Finding the Fourth Proportional to 10,661.26, 14,713.12 and 5,945.52

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Solution

The fourth proportional to 10,661.26, 14,713.12 and 5,945.52 is: 8,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.26 : 14,713.12 = 5,945.52 : x
  2. Step 2: Convert to fraction form
    10,661.26/14,713.12 = 5,945.52/x
  3. Step 3: Cross multiply
    10,661.26x = 14,713.12 × 5,945.52
  4. Step 4: Simplify right side
    10,661.26x = 87,477,149.22
  5. Step 5: Solve for x
    x = 87,477,149.22/10,661.26
  6. Step 6: Final answer
    x = 8,205.14

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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.