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Finding the Fourth Proportional to 10,696.38, 14,768.10 and 6,723.60

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Solution

The fourth proportional to 10,696.38, 14,768.10 and 6,723.60 is: 9,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.38 : 14,768.10 = 6,723.60 : x
  2. Step 2: Convert to fraction form
    10,696.38/14,768.10 = 6,723.60/x
  3. Step 3: Cross multiply
    10,696.38x = 14,768.10 × 6,723.60
  4. Step 4: Simplify right side
    10,696.38x = 99,294,797.16
  5. Step 5: Solve for x
    x = 99,294,797.16/10,696.38
  6. Step 6: Final answer
    x = 9,283.03

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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.