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Finding the Fourth Proportional to 6,696.36, 10,045.53 and 6,286.32

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Solution

The fourth proportional to 6,696.36, 10,045.53 and 6,286.32 is: 9,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.36 : 10,045.53 = 6,286.32 : x
  2. Step 2: Convert to fraction form
    6,696.36/10,045.53 = 6,286.32/x
  3. Step 3: Cross multiply
    6,696.36x = 10,045.53 × 6,286.32
  4. Step 4: Simplify right side
    6,696.36x = 63,149,416.15
  5. Step 5: Solve for x
    x = 63,149,416.15/6,696.36
  6. Step 6: Final answer
    x = 9,430.41

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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.