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Finding the Fourth Proportional to 10,650.40, 14,696.42 and 6,561.56

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Solution

The fourth proportional to 10,650.40, 14,696.42 and 6,561.56 is: 9,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.40 : 14,696.42 = 6,561.56 : x
  2. Step 2: Convert to fraction form
    10,650.40/14,696.42 = 6,561.56/x
  3. Step 3: Cross multiply
    10,650.40x = 14,696.42 × 6,561.56
  4. Step 4: Simplify right side
    10,650.40x = 96,431,441.62
  5. Step 5: Solve for x
    x = 96,431,441.62/10,650.40
  6. Step 6: Final answer
    x = 9,054.26

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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.