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Finding the Fourth Proportional to 9,816.64, 14,696.92 and 9,195.91

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Solution

The fourth proportional to 9,816.64, 14,696.92 and 9,195.91 is: 13,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.64 : 14,696.92 = 9,195.91 : x
  2. Step 2: Convert to fraction form
    9,816.64/14,696.92 = 9,195.91/x
  3. Step 3: Cross multiply
    9,816.64x = 14,696.92 × 9,195.91
  4. Step 4: Simplify right side
    9,816.64x = 135,151,553.60
  5. Step 5: Solve for x
    x = 135,151,553.60/9,816.64
  6. Step 6: Final answer
    x = 13,767.60

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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.