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Finding the Fourth Proportional to 23,851.76, 35,784.78 and 7,212.32

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Solution

The fourth proportional to 23,851.76, 35,784.78 and 7,212.32 is: 10,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.76 : 35,784.78 = 7,212.32 : x
  2. Step 2: Convert to fraction form
    23,851.76/35,784.78 = 7,212.32/x
  3. Step 3: Cross multiply
    23,851.76x = 35,784.78 × 7,212.32
  4. Step 4: Simplify right side
    23,851.76x = 258,091,284.49
  5. Step 5: Solve for x
    x = 258,091,284.49/23,851.76
  6. Step 6: Final answer
    x = 10,820.64

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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.