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Finding the Fourth Proportional to 33,257, 49,893.72 and 9,883.34

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Solution

The fourth proportional to 33,257, 49,893.72 and 9,883.34 is: 14,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,257 : 49,893.72 = 9,883.34 : x
  2. Step 2: Convert to fraction form
    33,257/49,893.72 = 9,883.34/x
  3. Step 3: Cross multiply
    33,257x = 49,893.72 × 9,883.34
  4. Step 4: Simplify right side
    33,257x = 493,116,598.62
  5. Step 5: Solve for x
    x = 493,116,598.62/33,257
  6. Step 6: Final answer
    x = 14,827.45

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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.