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Finding the Fourth Proportional to 7,682.52, 10,603.23 and 7,331.91

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Solution

The fourth proportional to 7,682.52, 10,603.23 and 7,331.91 is: 10,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.52 : 10,603.23 = 7,331.91 : x
  2. Step 2: Convert to fraction form
    7,682.52/10,603.23 = 7,331.91/x
  3. Step 3: Cross multiply
    7,682.52x = 10,603.23 × 7,331.91
  4. Step 4: Simplify right side
    7,682.52x = 77,741,928.07
  5. Step 5: Solve for x
    x = 77,741,928.07/7,682.52
  6. Step 6: Final answer
    x = 10,119.33

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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.