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Finding the Fourth Proportional to 23,463.82, 35,196 and 7,881.45

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Solution

The fourth proportional to 23,463.82, 35,196 and 7,881.45 is: 11,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463.82 : 35,196 = 7,881.45 : x
  2. Step 2: Convert to fraction form
    23,463.82/35,196 = 7,881.45/x
  3. Step 3: Cross multiply
    23,463.82x = 35,196 × 7,881.45
  4. Step 4: Simplify right side
    23,463.82x = 277,395,514.20
  5. Step 5: Solve for x
    x = 277,395,514.20/23,463.82
  6. Step 6: Final answer
    x = 11,822.27

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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.