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Finding the Fourth Proportional to 9,352.50, 12,906.45 and 5,626.50

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Solution

The fourth proportional to 9,352.50, 12,906.45 and 5,626.50 is: 7,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.50 : 12,906.45 = 5,626.50 : x
  2. Step 2: Convert to fraction form
    9,352.50/12,906.45 = 5,626.50/x
  3. Step 3: Cross multiply
    9,352.50x = 12,906.45 × 5,626.50
  4. Step 4: Simplify right side
    9,352.50x = 72,618,140.93
  5. Step 5: Solve for x
    x = 72,618,140.93/9,352.50
  6. Step 6: Final answer
    x = 7,764.57

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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.