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Finding the Fourth Proportional to 9,884.16, 13,635 and 6,697.62

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Solution

The fourth proportional to 9,884.16, 13,635 and 6,697.62 is: 9,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.16 : 13,635 = 6,697.62 : x
  2. Step 2: Convert to fraction form
    9,884.16/13,635 = 6,697.62/x
  3. Step 3: Cross multiply
    9,884.16x = 13,635 × 6,697.62
  4. Step 4: Simplify right side
    9,884.16x = 91,322,048.70
  5. Step 5: Solve for x
    x = 91,322,048.70/9,884.16
  6. Step 6: Final answer
    x = 9,239.23

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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.