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Finding the Fourth Proportional to 7,705.26, 10,634.63 and 7,354.67

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Solution

The fourth proportional to 7,705.26, 10,634.63 and 7,354.67 is: 10,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.26 : 10,634.63 = 7,354.67 : x
  2. Step 2: Convert to fraction form
    7,705.26/10,634.63 = 7,354.67/x
  3. Step 3: Cross multiply
    7,705.26x = 10,634.63 × 7,354.67
  4. Step 4: Simplify right side
    7,705.26x = 78,214,104.28
  5. Step 5: Solve for x
    x = 78,214,104.28/7,705.26
  6. Step 6: Final answer
    x = 10,150.74

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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.