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Finding the Fourth Proportional to 9,685.50, 13,366.23 and 5,269.50

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Solution

The fourth proportional to 9,685.50, 13,366.23 and 5,269.50 is: 7,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.50 : 13,366.23 = 5,269.50 : x
  2. Step 2: Convert to fraction form
    9,685.50/13,366.23 = 5,269.50/x
  3. Step 3: Cross multiply
    9,685.50x = 13,366.23 × 5,269.50
  4. Step 4: Simplify right side
    9,685.50x = 70,433,348.99
  5. Step 5: Solve for x
    x = 70,433,348.99/9,685.50
  6. Step 6: Final answer
    x = 7,272.04

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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.