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Finding the Fourth Proportional to 23,409.63, 35,114.31 and 7,827.12

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Solution

The fourth proportional to 23,409.63, 35,114.31 and 7,827.12 is: 11,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.63 : 35,114.31 = 7,827.12 : x
  2. Step 2: Convert to fraction form
    23,409.63/35,114.31 = 7,827.12/x
  3. Step 3: Cross multiply
    23,409.63x = 35,114.31 × 7,827.12
  4. Step 4: Simplify right side
    23,409.63x = 274,843,918.09
  5. Step 5: Solve for x
    x = 274,843,918.09/23,409.63
  6. Step 6: Final answer
    x = 11,740.63

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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.