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Finding the Fourth Proportional to 15,422.66, 23,134.82 and 4,893.50

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Solution

The fourth proportional to 15,422.66, 23,134.82 and 4,893.50 is: 7,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.66 : 23,134.82 = 4,893.50 : x
  2. Step 2: Convert to fraction form
    15,422.66/23,134.82 = 4,893.50/x
  3. Step 3: Cross multiply
    15,422.66x = 23,134.82 × 4,893.50
  4. Step 4: Simplify right side
    15,422.66x = 113,210,144.91
  5. Step 5: Solve for x
    x = 113,210,144.91/15,422.66
  6. Step 6: Final answer
    x = 7,340.51

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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.