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Finding the Fourth Proportional to 23,627.82, 35,432.64 and 7,828.05

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Solution

The fourth proportional to 23,627.82, 35,432.64 and 7,828.05 is: 11,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627.82 : 35,432.64 = 7,828.05 : x
  2. Step 2: Convert to fraction form
    23,627.82/35,432.64 = 7,828.05/x
  3. Step 3: Cross multiply
    23,627.82x = 35,432.64 × 7,828.05
  4. Step 4: Simplify right side
    23,627.82x = 277,368,477.55
  5. Step 5: Solve for x
    x = 277,368,477.55/23,627.82
  6. Step 6: Final answer
    x = 11,739.06

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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.