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Finding the Fourth Proportional to 23,774.04, 35,661.06 and 9,734.31

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Solution

The fourth proportional to 23,774.04, 35,661.06 and 9,734.31 is: 14,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.04 : 35,661.06 = 9,734.31 : x
  2. Step 2: Convert to fraction form
    23,774.04/35,661.06 = 9,734.31/x
  3. Step 3: Cross multiply
    23,774.04x = 35,661.06 × 9,734.31
  4. Step 4: Simplify right side
    23,774.04x = 347,135,812.97
  5. Step 5: Solve for x
    x = 347,135,812.97/23,774.04
  6. Step 6: Final answer
    x = 14,601.47

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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.