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Finding the Fourth Proportional to 9,605.62, 14,409.17 and 3,685.34

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Solution

The fourth proportional to 9,605.62, 14,409.17 and 3,685.34 is: 5,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.62 : 14,409.17 = 3,685.34 : x
  2. Step 2: Convert to fraction form
    9,605.62/14,409.17 = 3,685.34/x
  3. Step 3: Cross multiply
    9,605.62x = 14,409.17 × 3,685.34
  4. Step 4: Simplify right side
    9,605.62x = 53,102,600.10
  5. Step 5: Solve for x
    x = 53,102,600.10/9,605.62
  6. Step 6: Final answer
    x = 5,528.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.