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Finding the Fourth Proportional to 10,409.06, 15,629.43 and 9,092.06

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Solution

The fourth proportional to 10,409.06, 15,629.43 and 9,092.06 is: 13,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.06 : 15,629.43 = 9,092.06 : x
  2. Step 2: Convert to fraction form
    10,409.06/15,629.43 = 9,092.06/x
  3. Step 3: Cross multiply
    10,409.06x = 15,629.43 × 9,092.06
  4. Step 4: Simplify right side
    10,409.06x = 142,103,715.33
  5. Step 5: Solve for x
    x = 142,103,715.33/10,409.06
  6. Step 6: Final answer
    x = 13,651.93

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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.