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Finding the Fourth Proportional to 22,783.50, 34,175.25 and 6,367.50

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Solution

The fourth proportional to 22,783.50, 34,175.25 and 6,367.50 is: 9,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.50 : 34,175.25 = 6,367.50 : x
  2. Step 2: Convert to fraction form
    22,783.50/34,175.25 = 6,367.50/x
  3. Step 3: Cross multiply
    22,783.50x = 34,175.25 × 6,367.50
  4. Step 4: Simplify right side
    22,783.50x = 217,610,904.38
  5. Step 5: Solve for x
    x = 217,610,904.38/22,783.50
  6. Step 6: Final answer
    x = 9,551.25

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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.