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Finding the Fourth Proportional to 34,438.25, 51,658.51 and 9,478.20

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Solution

The fourth proportional to 34,438.25, 51,658.51 and 9,478.20 is: 14,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438.25 : 51,658.51 = 9,478.20 : x
  2. Step 2: Convert to fraction form
    34,438.25/51,658.51 = 9,478.20/x
  3. Step 3: Cross multiply
    34,438.25x = 51,658.51 × 9,478.20
  4. Step 4: Simplify right side
    34,438.25x = 489,629,689.48
  5. Step 5: Solve for x
    x = 489,629,689.48/34,438.25
  6. Step 6: Final answer
    x = 14,217.61

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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.