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Finding the Fourth Proportional to 34,709.94, 52,065.24 and 8,414.91

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Solution

The fourth proportional to 34,709.94, 52,065.24 and 8,414.91 is: 12,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.94 : 52,065.24 = 8,414.91 : x
  2. Step 2: Convert to fraction form
    34,709.94/52,065.24 = 8,414.91/x
  3. Step 3: Cross multiply
    34,709.94x = 52,065.24 × 8,414.91
  4. Step 4: Simplify right side
    34,709.94x = 438,124,308.73
  5. Step 5: Solve for x
    x = 438,124,308.73/34,709.94
  6. Step 6: Final answer
    x = 12,622.45

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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.