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Finding the Fourth Proportional to 22,647.96, 33,966.54 and 9,500.58

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Solution

The fourth proportional to 22,647.96, 33,966.54 and 9,500.58 is: 14,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.96 : 33,966.54 = 9,500.58 : x
  2. Step 2: Convert to fraction form
    22,647.96/33,966.54 = 9,500.58/x
  3. Step 3: Cross multiply
    22,647.96x = 33,966.54 × 9,500.58
  4. Step 4: Simplify right side
    22,647.96x = 322,701,830.59
  5. Step 5: Solve for x
    x = 322,701,830.59/22,647.96
  6. Step 6: Final answer
    x = 14,248.60

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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.