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Finding the Fourth Proportional to 22,973.24, 34,464.65 and 8,182.10

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Solution

The fourth proportional to 22,973.24, 34,464.65 and 8,182.10 is: 12,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973.24 : 34,464.65 = 8,182.10 : x
  2. Step 2: Convert to fraction form
    22,973.24/34,464.65 = 8,182.10/x
  3. Step 3: Cross multiply
    22,973.24x = 34,464.65 × 8,182.10
  4. Step 4: Simplify right side
    22,973.24x = 281,992,999.53
  5. Step 5: Solve for x
    x = 281,992,999.53/22,973.24
  6. Step 6: Final answer
    x = 12,274.85

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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.